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40632401661416 = 2319223881694339
BaseRepresentation
bin10010011110100011101111…
…10111100000110111101000
312022212102022221020000021122
421033101313313200313220
520311210124311131131
6222230133450354412
711362410535343645
oct1117216767406750
9168772287200248
1040632401661416
1111a461174a9444
1246829b912ba08
131989808037c96
14a06893b3adcc
154a6e1e466d7b
hex24f477de0de8

40632401661416 has 96 divisors (see below), whose sum is σ = 83997864820800. Its totient is φ = 18389180874240.

The previous prime is 40632401661413. The next prime is 40632401661443. The reversal of 40632401661416 is 61416610423604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40632401661413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58172375 + ... + 58866713.

It is an arithmetic number, because the mean of its divisors is an integer number (874977758550).

Almost surely, 240632401661416 is an apocalyptic number.

40632401661416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40632401661416 is an abundant number, since it is smaller than the sum of its proper divisors (43365463159384).

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

40632401661416 is a wasteful number, since it uses less digits than its factorization.

40632401661416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695287 (or 695264 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 40632401661416 in words is "forty trillion, six hundred thirty-two billion, four hundred one million, six hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 361 437 722 874 881 1444 1748 1762 2888 3496 3524 7048 8303 16606 16739 20263 33212 33478 40526 66424 66956 81052 133912 162104 318041 384997 636082 694339 769994 1272164 1388678 1539988 2544328 2777356 3079976 5554712 7314943 13192441 14629886 15969797 26384882 29259772 31939594 52769764 58519544 63879188 105539528 127758376 250656379 303426143 501312758 606852286 611712659 1002625516 1213704572 1223425318 2005251032 2427409144 2446850636 4893701272 5765096717 11530193434 11622540521 14069391157 23060386868 23245081042 28138782314 46120773736 46490162084 56277564628 92980324168 112555129256 220828269899 267318431983 441656539798 534636863966 883313079596 1069273727932 1766626159192 2138547455864 5079050207677 10158100415354 20316200830708 40632401661416