388412804000 has 192 divisors, whose sum is σ = 1088198066592. Its totient is φ = 134977536000.

The previous prime is 388412803993. The next prime is 388412804063. The reversal of 388412804000 is 408214883.

It can be written as a sum of positive squares in 16 ways, for example, as 63179838736 + 325232965264 = 251356^2 + 570292^2 .

It is a super-2 number, since 2×388412804000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664310 + ... + 1103690.

Almost surely, 2^388412804000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388412804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544099033296).

388412804000 is an abundant number, since it is smaller than the sum of its proper divisors (699785262592).

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

388412804000 is a wasteful number, since it uses less digits than its factorization.

388412804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439436 (or 439418 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 388412804000 in words is "three hundred eighty-eight billion, four hundred twelve million, eight hundred four thousand".