388957286390400 has 4608 divisors, whose sum is σ = 1852674701230080. Its totient is φ = 75440288563200.

The previous prime is 388957286390381. The next prime is 388957286390479. The reversal of 388957286390400 is 4093682759883.

388957286390400 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 5 + 72 + 8 + 63 + 90 + 400 = 666.

It is a super-2 number, since 2×388957286390400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 304586754562 + ... + 304586755838.

It is an arithmetic number, because the mean of its divisors is an integer number (402056141760).

Almost surely, 2^{388957286390400} is an apocalyptic number.

388957286390400 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 388957286390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926337350615040).

388957286390400 is an abundant number, since it is smaller than the sum of its proper divisors (1463717414839680).

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

388957286390400 is a wasteful number, since it uses less digits than its factorization.

388957286390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 388957286390400 in words is "three hundred eighty-eight trillion, nine hundred fifty-seven billion, two hundred eighty-six million, three hundred ninety thousand, four hundred".