40514872320 has 528 divisors, whose sum is σ = 154505594880. Its totient is φ = 9753919488.

The previous prime is 40514872291. The next prime is 40514872331. The reversal of 40514872320 is 2327841504.

It is a happy number.

40514872320 is a `hidden beast` number, since 40 + 514 + 8 + 72 + 32 + 0 = 666.

40514872320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28154161 + ... + 28155599.

Almost surely, 2^40514872320 is an apocalyptic number.

40514872320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40514872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77252797440).

40514872320 is an abundant number, since it is smaller than the sum of its proper divisors (113990722560).

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

40514872320 is a wasteful number, since it uses less digits than its factorization.

40514872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40514872320 in words is "forty billion, five hundred fourteen million, eight hundred seventy-two thousand, three hundred twenty".