388357079040 has 840 divisors, whose sum is σ = 1598751735840. Its totient is φ = 88671780864.

The previous prime is 388357078999. The next prime is 388357079053. The reversal of 388357079040 is 40970753883.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037296 + ... + 418038224.

It is an arithmetic number, because the mean of its divisors is an integer number (1903275876).

Almost surely, 2^388357079040 is an apocalyptic number.

388357079040 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 388357079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799375867920).

388357079040 is an abundant number, since it is smaller than the sum of its proper divisors (1210394656800).

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

388357079040 is an frugal number, since it uses more digits than its factorization.

388357079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 388357079040 in words is "three hundred eighty-eight billion, three hundred fifty-seven million, seventy-nine thousand, forty".