1038044160 has 220 divisors, whose sum is σ = 3721249488. Its totient is φ = 276701184.

The previous prime is 1038044149. The next prime is 1038044173. The reversal of 1038044160 is 614408301.

1038044160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1038044160² = 2155071356220211200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413469 + ... + 415971.

Almost surely, 2^1038044160 is an apocalyptic number.

1038044160 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 1038044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860624744).

1038044160 is an abundant number, since it is smaller than the sum of its proper divisors (2683205328).

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

1038044160 is an equidigital number, since it uses as much as digits as its factorization.

1038044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1038044160 is about 32218.6927109093. The cubic root of 1038044160 is about 1012.5238842102.

The spelling of 1038044160 in words is "one billion, thirty-eight million, forty-four thousand, one hundred sixty".