406978802256 has 320 divisors, whose sum is σ = 1182560311296. Its totient is φ = 119791872000.

The previous prime is 406978802207. The next prime is 406978802317. The reversal of 406978802256 is 652208879604.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 406978802196 and 406978802205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373032271 + ... + 373033361.

Almost surely, 2^406978802256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406978802256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591280155648).

406978802256 is an abundant number, since it is smaller than the sum of its proper divisors (775581509040).

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

406978802256 is a wasteful number, since it uses less digits than its factorization.

406978802256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 406978802256 in words is "four hundred six billion, nine hundred seventy-eight million, eight hundred two thousand, two hundred fifty-six".