406718723966400 has 336 divisors, whose sum is σ = 1500944600624480. Its totient is φ = 108458325457920.

The previous prime is 406718723966341. The next prime is 406718723966407. The reversal of 406718723966400 is 4669327817604.

It is a happy number.

406718723966400 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 187 + 2 + 396 + 64 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406718723966407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54616759 + ... + 61615158.

Almost surely, 2^{406718723966400} is an apocalyptic number.

406718723966400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406718723966400 is an abundant number, since it is smaller than the sum of its proper divisors (1094225876658080).

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

406718723966400 is an equidigital number, since it uses as much as digits as its factorization.

406718723966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116231960 (or 116231927 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 406718723966400 in words is "four hundred six trillion, seven hundred eighteen billion, seven hundred twenty-three million, nine hundred sixty-six thousand, four hundred".