398092117200 has 240 divisors, whose sum is σ = 1326738702336. Its totient is φ = 101923315200.

The previous prime is 398092117099. The next prime is 398092117253. The reversal of 398092117200 is 2711290893.

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, 4682269 + ... + 4766531.

Almost surely, 2^398092117200 is an apocalyptic number.

398092117200 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 398092117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663369351168).

398092117200 is an abundant number, since it is smaller than the sum of its proper divisors (928646585136).

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

398092117200 is a wasteful number, since it uses less digits than its factorization.

398092117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84442 (or 84431 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 398092117200 in words is "three hundred ninety-eight billion, ninety-two million, one hundred seventeen thousand, two hundred".