398931996672 has 416 divisors, whose sum is σ = 1324315637760. Its totient is φ = 117607956480.

The previous prime is 398931996641. The next prime is 398931996677. The reversal of 398931996672 is 276699139893.

398931996672 is a `hidden beast` number, since 398 + 93 + 1 + 9 + 96 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 398931996672.

It is not an unprimeable number, because it can be changed into a prime (398931996677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45006513 + ... + 45015375.

Almost surely, 2^398931996672 is an apocalyptic number.

398931996672 is a gapful number since it is divisible by the number (32) 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 398931996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662157818880).

398931996672 is an abundant number, since it is smaller than the sum of its proper divisors (925383641088).

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

398931996672 is a wasteful number, since it uses less digits than its factorization.

398931996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944 (or 8916 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 72.

The spelling of 398931996672 in words is "three hundred ninety-eight billion, nine hundred thirty-one million, nine hundred ninety-six thousand, six hundred seventy-two".