40644478574568 has 384 divisors, whose sum is σ = 127859937379200. Its totient is φ = 11630829450240.

The previous prime is 40644478574551. The next prime is 40644478574591. The reversal of 40644478574568 is 86547587444604.

40644478574568 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 4 + 4 + 7 + 8 + 57 + 4 + 568 = 666.

It is a super-2 number, since 2×40644478574568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40644478574496 and 40644478574505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569877246 + ... + 569948562.

It is an arithmetic number, because the mean of its divisors is an integer number (332968586925).

Almost surely, 2^{40644478574568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40644478574568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63929968689600).

40644478574568 is an abundant number, since it is smaller than the sum of its proper divisors (87215458804632).

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

40644478574568 is a wasteful number, since it uses less digits than its factorization.

40644478574568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71694 (or 71665 counting only the distinct ones).

The product of its (nonzero) digits is 2890137600, while the sum is 72.

The spelling of 40644478574568 in words is "forty trillion, six hundred forty-four billion, four hundred seventy-eight million, five hundred seventy-four thousand, five hundred sixty-eight".