398961072000 has 640 divisors, whose sum is σ = 1518490116000. Its totient is φ = 102957696000.

The previous prime is 398961071987. The next prime is 398961072017. The reversal of 398961072000 is 270169893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

398961072000 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 610 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12869711985 + ... + 12869712015.

Almost surely, 2^398961072000 is an apocalyptic number.

398961072000 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 398961072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759245058000).

398961072000 is an abundant number, since it is smaller than the sum of its proper divisors (1119529044000).

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

398961072000 is an frugal number, since it uses more digits than its factorization.

398961072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 398961072000 in words is "three hundred ninety-eight billion, nine hundred sixty-one million, seventy-two thousand".