40721507254968 has 128 divisors (see below), whose sum is σ = 108955590912000. Its totient is φ = 12637620486144.

The previous prime is 40721507254963. The next prime is 40721507255021. The reversal of 40721507254968 is 86945270512704.

It is a super-2 number, since 2×40721507254968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40721507254963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82824921 + ... + 83315127.

It is an arithmetic number, because the mean of its divisors is an integer number (851215554000).

Almost surely, 2^{40721507254968} 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 40721507254968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54477795456000).

40721507254968 is an abundant number, since it is smaller than the sum of its proper divisors (68234083657032).

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

40721507254968 is a wasteful number, since it uses less digits than its factorization.

40721507254968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492429 (or 492425 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 40721507254968 in words is "forty trillion, seven hundred twenty-one billion, five hundred seven million, two hundred fifty-four thousand, nine hundred sixty-eight".