398188431360 has 672 divisors, whose sum is σ = 1468539366840. Its totient is φ = 103514112000.

The previous prime is 398188431353. The next prime is 398188431467. The reversal of 398188431360 is 63134881893.

398188431360 is a `hidden beast` number, since 3 + 98 + 188 + 4 + 313 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75964179456 + 322224251904 = 275616^2 + 567648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 398188431297 and 398188431306.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 306062710 + ... + 306064010.

Almost surely, 2^398188431360 is an apocalyptic number.

398188431360 is a gapful number since it is divisible by the number (30) 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 398188431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734269683420).

398188431360 is an abundant number, since it is smaller than the sum of its proper divisors (1070350935480).

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

398188431360 is an equidigital number, since it uses as much as digits as its factorization.

398188431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 398188431360 in words is "three hundred ninety-eight billion, one hundred eighty-eight million, four hundred thirty-one thousand, three hundred sixty".