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40380556800 = 293523797293
BaseRepresentation
bin100101100110110111…
…100110011000000000
310212020012010211021210
4211212313212120000
51130144410304200
630314531250120
72626445032563
oct454667463000
9125205124253
1040380556800
1116141853aa1
1279ab449940
133a66b76cbc
141d50d504da
1510b5109650
hex966de6600

40380556800 has 480 divisors, whose sum is σ = 138884673312. Its totient is φ = 10333716480.

The previous prime is 40380556781. The next prime is 40380556859. The reversal of 40380556800 is 865508304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137817454 + ... + 137817746.

Almost surely, 240380556800 is an apocalyptic number.

40380556800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40380556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69442336656).

40380556800 is an abundant number, since it is smaller than the sum of its proper divisors (98504116512).

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

40380556800 is a wasteful number, since it uses less digits than its factorization.

40380556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 40380556800 in words is "forty billion, three hundred eighty million, five hundred fifty-six thousand, eight hundred".