406977181920 has 192 divisors, whose sum is σ = 1499389920000. Its totient is φ = 102815267328.

The previous prime is 406977181879. The next prime is 406977181931. The reversal of 406977181920 is 29181779604.

406977181920 is a `hidden beast` number, since 406 + 9 + 7 + 71 + 81 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397070 + ... + 2561229.

It is an arithmetic number, because the mean of its divisors is an integer number (7809322500).

Almost surely, 2^406977181920 is an apocalyptic number.

406977181920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406977181920 is an abundant number, since it is smaller than the sum of its proper divisors (1092412738080).

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

406977181920 is a wasteful number, since it uses less digits than its factorization.

406977181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958342 (or 4958328 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 406977181920 in words is "four hundred six billion, nine hundred seventy-seven million, one hundred eighty-one thousand, nine hundred twenty".