398560780800 has 3840 divisors, whose sum is σ = 2045869056000. Its totient is φ = 73574645760.

The previous prime is 398560780763. The next prime is 398560780843. The reversal of 398560780800 is 8087065893.

It is a happy number.

398560780800 is a `hidden beast` number, since 3 + 9 + 8 + 560 + 78 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 13743475186 + ... + 13743475214.

It is an arithmetic number, because the mean of its divisors is an integer number (532778400).

Almost surely, 2^398560780800 is an apocalyptic number.

398560780800 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 398560780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022934528000).

398560780800 is an abundant number, since it is smaller than the sum of its proper divisors (1647308275200).

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

398560780800 is a wasteful number, since it uses less digits than its factorization.

398560780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 398560780800 in words is "three hundred ninety-eight billion, five hundred sixty million, seven hundred eighty thousand, eight hundred".