405994208256 has 1320 divisors, whose sum is σ = 1585394949600. Its totient is φ = 100759044096.

The previous prime is 405994208189. The next prime is 405994208273. The reversal of 405994208256 is 652802499504.

405994208256 is a `hidden beast` number, since 4 + 0 + 5 + 99 + 420 + 82 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2724793270 + ... + 2724793418.

It is an arithmetic number, because the mean of its divisors is an integer number (1201056780).

Almost surely, 2^405994208256 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 405994208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792697474800).

405994208256 is an abundant number, since it is smaller than the sum of its proper divisors (1179400741344).

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

405994208256 is a wasteful number, since it uses less digits than its factorization.

405994208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 405994208256 in words is "four hundred five billion, nine hundred ninety-four million, two hundred eight thousand, two hundred fifty-six".