388956160440 has 256 divisors, whose sum is σ = 1322404444800. Its totient is φ = 101655171072.

The previous prime is 388956160423. The next prime is 388956160459. The reversal of 388956160440 is 44061659883.

388956160440 is a `hidden beast` number, since 3 + 8 + 89 + 5 + 61 + 60 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62560212 + ... + 62566428.

Almost surely, 2^388956160440 is an apocalyptic number.

388956160440 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 388956160440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661202222400).

388956160440 is an abundant number, since it is smaller than the sum of its proper divisors (933448284360).

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

388956160440 is a wasteful number, since it uses less digits than its factorization.

388956160440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 388956160440 in words is "three hundred eighty-eight billion, nine hundred fifty-six million, one hundred sixty thousand, four hundred forty".