4016405556 has 72 divisors (see below), whose sum is σ = 10317565440. Its totient is φ = 1317222144.

The previous prime is 4016405507. The next prime is 4016405563. The reversal of 4016405556 is 6555046104.

4016405556 is a `hidden beast` number, since 4 + 0 + 1 + 640 + 5 + 5 + 5 + 6 = 666.

It is a super-2 number, since 2×4016405556² = 32263027180535338272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4016405556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561901 + ... + 569003.

It is an arithmetic number, because the mean of its divisors is an integer number (143299520).

Almost surely, 2^4016405556 is an apocalyptic number.

It is an amenable number.

4016405556 is an abundant number, since it is smaller than the sum of its proper divisors (6301159884).

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

4016405556 is a wasteful number, since it uses less digits than its factorization.

4016405556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4016405556 is about 63375.1177987071. The cubic root of 4016405556 is about 1589.5682748594.

The spelling of 4016405556 in words is "four billion, sixteen million, four hundred five thousand, five hundred fifty-six".