388932413940 has 240 divisors, whose sum is σ = 1398890997504. Its totient is φ = 88612185600.

The previous prime is 388932413929. The next prime is 388932413941. The reversal of 388932413940 is 49314239883.

388932413940 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 3 + 241 + 394 + 0 = 666.

It is a super-2 number, since 2×388932413940² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388932413941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3471600 + ... + 3581880.

Almost surely, 2^388932413940 is an apocalyptic number.

388932413940 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 388932413940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699445498752).

388932413940 is an abundant number, since it is smaller than the sum of its proper divisors (1009958583564).

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

388932413940 is a wasteful number, since it uses less digits than its factorization.

388932413940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110620 (or 110609 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 388932413940 in words is "three hundred eighty-eight billion, nine hundred thirty-two million, four hundred thirteen thousand, nine hundred forty".