398040768000 has 480 divisors, whose sum is σ = 1454010098112. Its totient is φ = 104638464000.

The previous prime is 398040767989. The next prime is 398040768023. The reversal of 398040768000 is 867040893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 40891134 + ... + 40900866.

Almost surely, 2^398040768000 is an apocalyptic number.

398040768000 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 398040768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727005049056).

398040768000 is an abundant number, since it is smaller than the sum of its proper divisors (1055969330112).

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

398040768000 is an equidigital number, since it uses as much as digits as its factorization.

398040768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 398040768000 in words is "three hundred ninety-eight billion, forty million, seven hundred sixty-eight thousand".