398547968000 has 1008 divisors, whose sum is σ = 1279632354624. Its totient is φ = 123450163200.

The previous prime is 398547967997. The next prime is 398547968009. The reversal of 398547968000 is 869745893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398547968009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8479743977 + ... + 8479744023.

Almost surely, 2^398547968000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398547968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639816177312).

398547968000 is an abundant number, since it is smaller than the sum of its proper divisors (881084386624).

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

398547968000 is an equidigital number, since it uses as much as digits as its factorization.

398547968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 398547968000 in words is "three hundred ninety-eight billion, five hundred forty-seven million, nine hundred sixty-eight thousand".