398043072000 has 1200 divisors, whose sum is σ = 1725863787648. Its totient is φ = 90923212800.

The previous prime is 398043071999. The next prime is 398043072019. The reversal of 398043072000 is 270340893.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015217 + ... + 254016783.

Almost surely, 2^398043072000 is an apocalyptic number.

398043072000 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 398043072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862931893824).

398043072000 is an abundant number, since it is smaller than the sum of its proper divisors (1327820715648).

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

398043072000 is an equidigital number, since it uses as much as digits as its factorization.

398043072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 398043072000 in words is "three hundred ninety-eight billion, forty-three million, seventy-two thousand".