40088484864 has 264 divisors, whose sum is σ = 122623488000. Its totient is φ = 12578955264.

The previous prime is 40088484851. The next prime is 40088484899. The reversal of 40088484864 is 46848488004.

It is a happy number.

40088484864 is a `hidden beast` number, since 4 + 0 + 0 + 88 + 484 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40088484864.

It is a congruent number.

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, 31342977 + ... + 31344255.

Almost surely, 2^40088484864 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 40088484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61311744000).

40088484864 is an abundant number, since it is smaller than the sum of its proper divisors (82535003136).

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

40088484864 is a wasteful number, since it uses less digits than its factorization.

40088484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 40088484864 in words is "forty billion, eighty-eight million, four hundred eighty-four thousand, eight hundred sixty-four".