398244672000 has 960 divisors, whose sum is σ = 1678171233024. Its totient is φ = 88871731200.

The previous prime is 398244671999. The next prime is 398244672011. The reversal of 398244672000 is 276442893.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 173374852 + ... + 173377148.

Almost surely, 2^398244672000 is an apocalyptic number.

398244672000 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 398244672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839085616512).

398244672000 is an abundant number, since it is smaller than the sum of its proper divisors (1279926561024).

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

398244672000 is a wasteful number, since it uses less digits than its factorization.

398244672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 398244672000 in words is "three hundred ninety-eight billion, two hundred forty-four million, six hundred seventy-two thousand".