40584813696 has 640 divisors, whose sum is σ = 143765246400. Its totient is φ = 11266117632.

The previous prime is 40584813679. The next prime is 40584813707. The reversal of 40584813696 is 69631848504.

40584813696 is a `hidden beast` number, since 40 + 5 + 8 + 481 + 36 + 96 = 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 79 ways as a sum of consecutive naturals, for example, 555956316 + ... + 555956388.

Almost surely, 2^40584813696 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 40584813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71882623200).

40584813696 is an abundant number, since it is smaller than the sum of its proper divisors (103180432704).

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

40584813696 is an frugal number, since it uses more digits than its factorization.

40584813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 40584813696 in words is "forty billion, five hundred eighty-four million, eight hundred thirteen thousand, six hundred ninety-six".