388942557408 has 144 divisors (see below), whose sum is σ = 1147363176960. Its totient is φ = 129608781696.

The previous prime is 388942557403. The next prime is 388942557413. The reversal of 388942557408 is 804755249883.

388942557408 is a `hidden beast` number, since 38 + 8 + 9 + 4 + 2 + 557 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (388942557403) and next prime (388942557413).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388942557403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39333841 + ... + 39343727.

It is an arithmetic number, because the mean of its divisors is an integer number (7967799840).

Almost surely, 2^388942557408 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 388942557408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573681588480).

388942557408 is an abundant number, since it is smaller than the sum of its proper divisors (758420619552).

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

388942557408 is an equidigital number, since it uses as much as digits as its factorization.

388942557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971 (or 14951 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 388942557408 in words is "three hundred eighty-eight billion, nine hundred forty-two million, five hundred fifty-seven thousand, four hundred eight".