405015706116 has 48 divisors (see below), whose sum is σ = 1200046538880. Its totient is φ = 115718772960.

The previous prime is 405015706027. The next prime is 405015706127. The reversal of 405015706116 is 611607510504.

It is a happy number.

405015706116 is a `hidden beast` number, since 40 + 501 + 57 + 0 + 61 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267866775 + ... + 267868286.

It is an arithmetic number, because the mean of its divisors is an integer number (25000969560).

Almost surely, 2^405015706116 is an apocalyptic number.

It is an amenable number.

405015706116 is an abundant number, since it is smaller than the sum of its proper divisors (795030832764).

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

405015706116 is a wasteful number, since it uses less digits than its factorization.

405015706116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535735081 (or 535735073 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 405015706116 in words is "four hundred five billion, fifteen million, seven hundred six thousand, one hundred sixteen".