1038959040 has 224 divisors, whose sum is σ = 3789273600. Its totient is φ = 236261376.

The previous prime is 1038959027. The next prime is 1038959069. The reversal of 1038959040 is 409598301.

1038959040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1038959040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345059 + ... + 2345501.

It is an arithmetic number, because the mean of its divisors is an integer number (16916400).

Almost surely, 2^1038959040 is an apocalyptic number.

1038959040 is a gapful number since it is divisible by the number (10) 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 1038959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894636800).

1038959040 is an abundant number, since it is smaller than the sum of its proper divisors (2750314560).

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

1038959040 is a wasteful number, since it uses less digits than its factorization.

1038959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1038959040 is about 32232.8875529326. The cubic root of 1038959040 is about 1012.8212594336.

The spelling of 1038959040 in words is "one billion, thirty-eight million, nine hundred fifty-nine thousand, forty".