406689834960 has 120 divisors (see below), whose sum is σ = 1416385283040. Its totient is φ = 108450617472.

The previous prime is 406689834913. The next prime is 406689835001. The reversal of 406689834960 is 69438986604.

406689834960 is a `hidden beast` number, since 4 + 0 + 6 + 68 + 9 + 83 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 10440690 + ... + 10479569.

It is an arithmetic number, because the mean of its divisors is an integer number (11803210692).

Almost surely, 2^406689834960 is an apocalyptic number.

406689834960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406689834960 is an abundant number, since it is smaller than the sum of its proper divisors (1009695448080).

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

406689834960 is a wasteful number, since it uses less digits than its factorization.

406689834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20920287 (or 20920269 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 406689834960 in words is "four hundred six billion, six hundred eighty-nine million, eight hundred thirty-four thousand, nine hundred sixty".