388033889040 has 360 divisors, whose sum is σ = 1572054382080. Its totient is φ = 88693242624.

The previous prime is 388033889017. The next prime is 388033889041. The reversal of 388033889040 is 40988330883.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (388033889041) 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 71 ways as a sum of consecutive naturals, for example, 748881 + ... + 1156239.

It is an arithmetic number, because the mean of its divisors is an integer number (4366817728).

Almost surely, 2^388033889040 is an apocalyptic number.

388033889040 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 388033889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786027191040).

388033889040 is an abundant number, since it is smaller than the sum of its proper divisors (1184020493040).

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

388033889040 is a wasteful number, since it uses less digits than its factorization.

388033889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407401 (or 407376 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 388033889040 in words is "three hundred eighty-eight billion, thirty-three million, eight hundred eighty-nine thousand, forty".