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41332664378480 = 24511323919130533
BaseRepresentation
bin10010110010111100000101…
…10001110010010001110000
312102100100211110001211002012
421121132002301302101300
520404143244040102410
6223523544110542052
711464120645256306
oct1131360261622160
9172310743054065
1041332664378480
11121960a2557282
124776669807928
131a0a865a4aab7
14a2c723cac276
154ba256616605
hex259782c72470

41332664378480 has 80 divisors (see below), whose sum is σ = 97354522304640. Its totient is φ = 16318190751744.

The previous prime is 41332664378471. The next prime is 41332664378497. The reversal of 41332664378480 is 8487346623314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×413326643784802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7404707 + ... + 11725826.

It is an arithmetic number, because the mean of its divisors is an integer number (1216931528808).

Almost surely, 241332664378480 is an apocalyptic number.

41332664378480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41332664378480 is an abundant number, since it is smaller than the sum of its proper divisors (56021857926160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41332664378480 is a wasteful number, since it uses less digits than its factorization.

41332664378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130898 (or 19130892 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 59.

The spelling of 41332664378480 in words is "forty-one trillion, three hundred thirty-two billion, six hundred sixty-four million, three hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 239 452 478 565 904 956 1130 1195 1808 1912 2260 2390 3824 4520 4780 9040 9560 19120 27007 54014 108028 135035 216056 270070 432112 540140 1080280 2160560 19130533 38261066 76522132 95652665 153044264 191305330 306088528 382610660 765221320 1530442640 2161750229 4323500458 4572197387 8647000916 9144394774 10808751145 17294001832 18288789548 21617502290 22860986935 34588003664 36577579096 43235004580 45721973870 73155158192 86470009160 91443947740 172940018320 182887895480 365775790960 516658304731 1033316609462 2066633218924 2583291523655 4133266437848 5166583047310 8266532875696 10333166094620 20666332189240 41332664378480