404820986400 has 216 divisors, whose sum is σ = 1511471048724. Its totient is φ = 101602099200.

The previous prime is 404820986399. The next prime is 404820986429. The reversal of 404820986400 is 4689028404.

404820986400 is a `hidden beast` number, since 40 + 482 + 0 + 98 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 129712344336 + 275108642064 = 360156^2 + 524508^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1531281 + ... + 1776080.

Almost surely, 2^404820986400 is an apocalyptic number.

404820986400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404820986400 is an abundant number, since it is smaller than the sum of its proper divisors (1106650062324).

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

404820986400 is a wasteful number, since it uses less digits than its factorization.

404820986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307404 (or 3307388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 404820986400 in words is "four hundred four billion, eight hundred twenty million, nine hundred eighty-six thousand, four hundred".