398776896000 has 1440 divisors, whose sum is σ = 1702867795200. Its totient is φ = 89413632000.

The previous prime is 398776895987. The next prime is 398776896013. The reversal of 398776896000 is 698677893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398776895987) and next prime (398776896013).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2003903901 + ... + 2003904099.

It is an arithmetic number, because the mean of its divisors is an integer number (1182547080).

Almost surely, 2^398776896000 is an apocalyptic number.

398776896000 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 398776896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851433897600).

398776896000 is an abundant number, since it is smaller than the sum of its proper divisors (1304090899200).

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

398776896000 is a wasteful number, since it uses less digits than its factorization.

398776896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 398776896000 in words is "three hundred ninety-eight billion, seven hundred seventy-six million, eight hundred ninety-six thousand".