406672443604800 has 126 divisors (see below), whose sum is σ = 1445409884505158. Its totient is φ = 108445984957440.

The previous prime is 406672443604789. The next prime is 406672443604811. The reversal of 406672443604800 is 8406344276604.

406672443604800 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 7 + 24 + 4 + 3 + 604 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406672443604789) and next prime (406672443604811).

It can be written as a sum of positive squares in 3 ways, for example, as 94486798266624 + 312185645338176 = 9720432^2 + 17668776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14120556559 + ... + 14120585358.

Almost surely, 2^{406672443604800} is an apocalyptic number.

406672443604800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406672443604800 is an abundant number, since it is smaller than the sum of its proper divisors (1038737440900358).

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

406672443604800 is a wasteful number, since it uses less digits than its factorization.

406672443604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28241141945 (or 28241141927 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 406672443604800 in words is "four hundred six trillion, six hundred seventy-two billion, four hundred forty-three million, six hundred four thousand, eight hundred".