398109392100 has 1152 divisors, whose sum is σ = 1604763955200. Its totient is φ = 82866654720.

The previous prime is 398109392029. The next prime is 398109392113. The reversal of 398109392100 is 1293901893.

It is a happy number.

398109392100 is a `hidden beast` number, since 398 + 10 + 9 + 39 + 210 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 4796498659 + ... + 4796498741.

Almost surely, 2^398109392100 is an apocalyptic number.

398109392100 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 398109392100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802381977600).

398109392100 is an abundant number, since it is smaller than the sum of its proper divisors (1206654563100).

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

398109392100 is a wasteful number, since it uses less digits than its factorization.

398109392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 398109392100 in words is "three hundred ninety-eight billion, one hundred nine million, three hundred ninety-two thousand, one hundred".