1038812040 has 320 divisors, whose sum is σ = 4029125760. Its totient is φ = 235146240.

The previous prime is 1038811999. The next prime is 1038812069. The reversal of 1038812040 is 402188301.

1038812040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1038811995 and 1038812013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3696700 + ... + 3696980.

It is an arithmetic number, because the mean of its divisors is an integer number (12591018).

Almost surely, 2^1038812040 is an apocalyptic number.

1038812040 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 1038812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014562880).

1038812040 is an abundant number, since it is smaller than the sum of its proper divisors (2990313720).

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

1038812040 is a wasteful number, since it uses less digits than its factorization.

1038812040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1038812040 is about 32230.6071925429. The cubic root of 1038812040 is about 1012.7734899060.

The spelling of 1038812040 in words is "one billion, thirty-eight million, eight hundred twelve thousand, forty".