1038135840 has 192 divisors, whose sum is σ = 3785564160. Its totient is φ = 234224640.

The previous prime is 1038135827. The next prime is 1038135853. The reversal of 1038135840 is 485318301.

It is an interprime number because it is at equal distance from previous prime (1038135827) and next prime (1038135853).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263485 + ... + 267395.

It is an arithmetic number, because the mean of its divisors is an integer number (19716480).

Almost surely, 2^1038135840 is an apocalyptic number.

1038135840 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 1038135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892782080).

1038135840 is an abundant number, since it is smaller than the sum of its proper divisors (2747428320).

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

1038135840 is a wasteful number, since it uses less digits than its factorization.

1038135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1038135840 is about 32220.1154560315. The cubic root of 1038135840 is about 1012.5536920163.

The spelling of 1038135840 in words is "one billion, thirty-eight million, one hundred thirty-five thousand, eight hundred forty".