398118828240 has 240 divisors, whose sum is σ = 1549540751616. Its totient is φ = 89716838400.

The previous prime is 398118828209. The next prime is 398118828259. The reversal of 398118828240 is 42828811893.

398118828240 is a `hidden beast` number, since 398 + 1 + 1 + 8 + 8 + 2 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198441 + ... + 914120.

Almost surely, 2^398118828240 is an apocalyptic number.

398118828240 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 398118828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774770375808).

398118828240 is an abundant number, since it is smaller than the sum of its proper divisors (1151421923376).

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

398118828240 is a wasteful number, since it uses less digits than its factorization.

398118828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112658 (or 1112649 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 398118828240 in words is "three hundred ninety-eight billion, one hundred eighteen million, eight hundred twenty-eight thousand, two hundred forty".