398437685280 has 72 divisors (see below), whose sum is σ = 1359668605932. Its totient is φ = 106250049024.

The previous prime is 398437685209. The next prime is 398437685287. The reversal of 398437685280 is 82586734893.

398437685280 is a `hidden beast` number, since 3 + 9 + 8 + 43 + 7 + 68 + 528 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394378976016 + 4058709264 = 627996^2 + 63708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (398437685287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138344979 + ... + 138347858.

Almost surely, 2^398437685280 is an apocalyptic number.

398437685280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398437685280 is an abundant number, since it is smaller than the sum of its proper divisors (961230920652).

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

398437685280 is a wasteful number, since it uses less digits than its factorization.

398437685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276692858 (or 276692847 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 398437685280 in words is "three hundred ninety-eight billion, four hundred thirty-seven million, six hundred eighty-five thousand, two hundred eighty".