398277522720 has 3072 divisors, whose sum is σ = 1975228416000. Its totient is φ = 72459878400.

The previous prime is 398277522719. The next prime is 398277522751. The reversal of 398277522720 is 27225772893.

398277522720 is a `hidden beast` number, since 3 + 98 + 2 + 7 + 7 + 522 + 7 + 20 = 666.

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 511 ways as a sum of consecutive naturals, for example, 7514670214 + ... + 7514670266.

It is an arithmetic number, because the mean of its divisors is an integer number (642978000).

Almost surely, 2^398277522720 is an apocalyptic number.

398277522720 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 398277522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987614208000).

398277522720 is an abundant number, since it is smaller than the sum of its proper divisors (1576950893280).

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

398277522720 is a wasteful number, since it uses less digits than its factorization.

398277522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 398277522720 in words is "three hundred ninety-eight billion, two hundred seventy-seven million, five hundred twenty-two thousand, seven hundred twenty".