40579444864 has 192 divisors, whose sum is σ = 99489168000. Its totient is φ = 16392886272.

The previous prime is 40579444849. The next prime is 40579444877. The reversal of 40579444864 is 46844497504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27288729 + ... + 27290215.

It is an arithmetic number, because the mean of its divisors is an integer number (518172750).

Almost surely, 2^40579444864 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 40579444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49744584000).

40579444864 is an abundant number, since it is smaller than the sum of its proper divisors (58909723136).

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

40579444864 is a wasteful number, since it uses less digits than its factorization.

40579444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 40579444864 in words is "forty billion, five hundred seventy-nine million, four hundred forty-four thousand, eight hundred sixty-four".