406362718080 has 768 divisors, whose sum is σ = 1642423910400. Its totient is φ = 95103590400.

The previous prime is 406362718033. The next prime is 406362718081. The reversal of 406362718080 is 80817263604.

406362718080 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 627 + 18 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406362718081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49606785 + ... + 49614975.

It is an arithmetic number, because the mean of its divisors is an integer number (2138572800).

Almost surely, 2^406362718080 is an apocalyptic number.

406362718080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406362718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821211955200).

406362718080 is an abundant number, since it is smaller than the sum of its proper divisors (1236061192320).

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

406362718080 is a wasteful number, since it uses less digits than its factorization.

406362718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 406362718080 in words is "four hundred six billion, three hundred sixty-two million, seven hundred eighteen thousand, eighty".