40807820413584 has 480 divisors, whose sum is σ = 140982951942144. Its totient is φ = 10771160924160.

The previous prime is 40807820413513. The next prime is 40807820413601. The reversal of 40807820413584 is 48531402870804.

40807820413584 is a `hidden beast` number, since 4 + 0 + 80 + 7 + 8 + 204 + 1 + 358 + 4 = 666.

40807820413584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40807820413584.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60944352 + ... + 61610304.

Almost surely, 2^{40807820413584} 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 40807820413584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70491475971072).

40807820413584 is an abundant number, since it is smaller than the sum of its proper divisors (100175131528560).

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

40807820413584 is a wasteful number, since it uses less digits than its factorization.

40807820413584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666095 (or 666086 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 40807820413584 in words is "forty trillion, eight hundred seven billion, eight hundred twenty million, four hundred thirteen thousand, five hundred eighty-four".