40721912627616 has 768 divisors, whose sum is σ = 134408336670720. Its totient is φ = 11888870722560.

The previous prime is 40721912627551. The next prime is 40721912627651. The reversal of 40721912627616 is 61672621912704.

40721912627616 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 1 + 9 + 1 + 2 + 627 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7790682795 + ... + 7790688021.

It is an arithmetic number, because the mean of its divisors is an integer number (175010855040).

Almost surely, 2^{40721912627616} 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 40721912627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67204168335360).

40721912627616 is an abundant number, since it is smaller than the sum of its proper divisors (93686424043104).

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

40721912627616 is a wasteful number, since it uses less digits than its factorization.

40721912627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40721912627616 in words is "forty trillion, seven hundred twenty-one billion, nine hundred twelve million, six hundred twenty-seven thousand, six hundred sixteen".