388369428480 has 1248 divisors, whose sum is σ = 1566230335488. Its totient is φ = 88119705600.

The previous prime is 388369428457. The next prime is 388369428497. The reversal of 388369428480 is 84824963883.

388369428480 is a `hidden beast` number, since 3 + 88 + 36 + 9 + 42 + 8 + 480 = 666.

It is a super-2 number, since 2×388369428480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2325565357 + ... + 2325565523.

It is an arithmetic number, because the mean of its divisors is an integer number (1254992256).

Almost surely, 2^388369428480 is an apocalyptic number.

388369428480 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 388369428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783115167744).

388369428480 is an abundant number, since it is smaller than the sum of its proper divisors (1177860907008).

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

388369428480 is a wasteful number, since it uses less digits than its factorization.

388369428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 388369428480 in words is "three hundred eighty-eight billion, three hundred sixty-nine million, four hundred twenty-eight thousand, four hundred eighty".