398691976320 has 384 divisors, whose sum is σ = 1517397598080. Its totient is φ = 95654707200.

The previous prime is 398691976301. The next prime is 398691976369. The reversal of 398691976320 is 23679196893.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6113485 + ... + 6178355.

It is an arithmetic number, because the mean of its divisors is an integer number (3951556245).

Almost surely, 2^398691976320 is an apocalyptic number.

398691976320 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 398691976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758698799040).

398691976320 is an abundant number, since it is smaller than the sum of its proper divisors (1118705621760).

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

398691976320 is a wasteful number, since it uses less digits than its factorization.

398691976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65004 (or 64989 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 398691976320 in words is "three hundred ninety-eight billion, six hundred ninety-one million, nine hundred seventy-six thousand, three hundred twenty".