406557808992 has 144 divisors (see below), whose sum is σ = 1194648594048. Its totient is φ = 131015301120.

The previous prime is 406557808903. The next prime is 406557809011. The reversal of 406557808992 is 299808755604.

It is a tau number, because it is divible by the number of its divisors (144).

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, 9021588 + ... + 9066540.

It is an arithmetic number, because the mean of its divisors is an integer number (8296170792).

Almost surely, 2^406557808992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406557808992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597324297024).

406557808992 is an abundant number, since it is smaller than the sum of its proper divisors (788090785056).

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

406557808992 is a wasteful number, since it uses less digits than its factorization.

406557808992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46013 (or 46002 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 406557808992 in words is "four hundred six billion, five hundred fifty-seven million, eight hundred eight thousand, nine hundred ninety-two".