388409472000 has 1408 divisors, whose sum is σ = 1660935144960. Its totient is φ = 88473600000.

The previous prime is 388409471971. The next prime is 388409472043. The reversal of 388409472000 is 274904883.

388409472000 is a `hidden beast` number, since 38 + 8 + 409 + 4 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646271700 + ... + 646272300.

Almost surely, 2^388409472000 is an apocalyptic number.

388409472000 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 388409472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830467572480).

388409472000 is an abundant number, since it is smaller than the sum of its proper divisors (1272525672960).

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

388409472000 is a wasteful number, since it uses less digits than its factorization.

388409472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 388409472000 in words is "three hundred eighty-eight billion, four hundred nine million, four hundred seventy-two thousand".