406959206400 has 1248 divisors, whose sum is σ = 1612093644800. Its totient is φ = 100329062400.

The previous prime is 406959206389. The next prime is 406959206449. The reversal of 406959206400 is 4602959604.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3204403137 + ... + 3204403263.

Almost surely, 2^406959206400 is an apocalyptic number.

406959206400 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 406959206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806046822400).

406959206400 is an abundant number, since it is smaller than the sum of its proper divisors (1205134438400).

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

406959206400 is a wasteful number, since it uses less digits than its factorization.

406959206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 406959206400 in words is "four hundred six billion, nine hundred fifty-nine million, two hundred six thousand, four hundred".