40631528664000 has 896 divisors, whose sum is σ = 150132483072000. Its totient is φ = 10758284697600.

The previous prime is 40631528663983. The next prime is 40631528664029. The reversal of 40631528664000 is 46682513604.

40631528664000 is a `hidden beast` number, since 4 + 0 + 63 + 1 + 528 + 6 + 64 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×40631528664000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36837287449 + ... + 36837288551.

Almost surely, 2^{40631528664000} is an apocalyptic number.

40631528664000 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 40631528664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75066241536000).

40631528664000 is an abundant number, since it is smaller than the sum of its proper divisors (109500954408000).

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

40631528664000 is a wasteful number, since it uses less digits than its factorization.

40631528664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40631528664000 in words is "forty trillion, six hundred thirty-one billion, five hundred twenty-eight million, six hundred sixty-four thousand".