40145937622560 has 2304 divisors, whose sum is σ = 183298018176000. Its totient is φ = 7920422092800.

The previous prime is 40145937622537. The next prime is 40145937622579. The reversal of 40145937622560 is 6522673954104.

It is a happy number.

40145937622560 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 5 + 9 + 3 + 7 + 622 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×40145937622560² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40145937622497 and 40145937622506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9611187192 + ... + 9611191368.

It is an arithmetic number, because the mean of its divisors is an integer number (79556431500).

Almost surely, 2^{40145937622560} is an apocalyptic number.

40145937622560 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 40145937622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91649009088000).

40145937622560 is an abundant number, since it is smaller than the sum of its proper divisors (143152080553440).

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

40145937622560 is a wasteful number, since it uses less digits than its factorization.

40145937622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 40145937622560 in words is "forty trillion, one hundred forty-five billion, nine hundred thirty-seven million, six hundred twenty-two thousand, five hundred sixty".