406072396800 has 2112 divisors, whose sum is σ = 1842182092800. Its totient is φ = 85642444800.

The previous prime is 406072396783. The next prime is 406072396801. The reversal of 406072396800 is 8693270604.

406072396800 is a `hidden beast` number, since 4 + 0 + 607 + 2 + 39 + 6 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (406072396801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4562611156 + ... + 4562611244.

Almost surely, 2^406072396800 is an apocalyptic number.

406072396800 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 406072396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921091046400).

406072396800 is an abundant number, since it is smaller than the sum of its proper divisors (1436109696000).

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

406072396800 is a wasteful number, since it uses less digits than its factorization.

406072396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 406072396800 in words is "four hundred six billion, seventy-two million, three hundred ninety-six thousand, eight hundred".