398042916480 has 1920 divisors, whose sum is σ = 1701892684800. Its totient is φ = 88318771200.

The previous prime is 398042916433. The next prime is 398042916521. The reversal of 398042916480 is 84619240893.

398042916480 is a `hidden beast` number, since 3 + 9 + 80 + 429 + 1 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4472392276 + ... + 4472392364.

It is an arithmetic number, because the mean of its divisors is an integer number (886402440).

Almost surely, 2^398042916480 is an apocalyptic number.

398042916480 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 398042916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850946342400).

398042916480 is an abundant number, since it is smaller than the sum of its proper divisors (1303849768320).

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

398042916480 is a wasteful number, since it uses less digits than its factorization.

398042916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 398042916480 in words is "three hundred ninety-eight billion, forty-two million, nine hundred sixteen thousand, four hundred eighty".