4006082916 has 72 divisors (see below), whose sum is σ = 11054036448. Its totient is φ = 1213200000.

The previous prime is 4006082879. The next prime is 4006082921. The reversal of 4006082916 is 6192806004.

4006082916 is a `hidden beast` number, since 40 + 0 + 608 + 2 + 9 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186711 + ... + 1190081.

It is an arithmetic number, because the mean of its divisors is an integer number (153528284).

Almost surely, 2^4006082916 is an apocalyptic number.

It is an amenable number.

4006082916 is an abundant number, since it is smaller than the sum of its proper divisors (7047953532).

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

4006082916 is a wasteful number, since it uses less digits than its factorization.

4006082916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4006082916 is about 63293.6246078545. The cubic root of 4006082916 is about 1588.2053133561.

The spelling of 4006082916 in words is "four billion, six million, eighty-two thousand, nine hundred sixteen".