406813034400 has 144 divisors (see below), whose sum is σ = 1328179553568. Its totient is φ = 108155520000.

The previous prime is 406813034387. The next prime is 406813034413. The reversal of 406813034400 is 4430318604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406813034387) and next prime (406813034413).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538350 + ... + 1050450.

It is an arithmetic number, because the mean of its divisors is an integer number (9223469122).

Almost surely, 2^406813034400 is an apocalyptic number.

406813034400 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 406813034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664089776784).

406813034400 is an abundant number, since it is smaller than the sum of its proper divisors (921366519168).

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

406813034400 is a wasteful number, since it uses less digits than its factorization.

406813034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512455 (or 512442 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 406813034400 in words is "four hundred six billion, eight hundred thirteen million, thirty-four thousand, four hundred".