40821442622568 has 192 divisors, whose sum is σ = 116583706736640. Its totient is φ = 12878245556352.

The previous prime is 40821442622383. The next prime is 40821442622633. The reversal of 40821442622568 is 86522624412804.

40821442622568 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 1 + 4 + 4 + 2 + 622 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×40821442622568² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202363405 + ... + 202565027.

It is an arithmetic number, because the mean of its divisors is an integer number (607206805920).

Almost surely, 2^{40821442622568} 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 40821442622568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58291853368320).

40821442622568 is an abundant number, since it is smaller than the sum of its proper divisors (75762264114072).

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

40821442622568 is a wasteful number, since it uses less digits than its factorization.

40821442622568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202948 (or 202941 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 40821442622568 in words is "forty trillion, eight hundred twenty-one billion, four hundred forty-two million, six hundred twenty-two thousand, five hundred sixty-eight".