1038142720 has 144 divisors (see below), whose sum is σ = 2622533760. Its totient is φ = 392978432.

The previous prime is 1038142681. The next prime is 1038142771. The reversal of 1038142720 is 272418301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5269662 + ... + 5269858.

It is an arithmetic number, because the mean of its divisors is an integer number (18212040).

Almost surely, 2^1038142720 is an apocalyptic number.

1038142720 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 1038142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311266880).

1038142720 is an abundant number, since it is smaller than the sum of its proper divisors (1584391040).

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

1038142720 is a wasteful number, since it uses less digits than its factorization.

1038142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1038142720 is about 32220.2222214559. Note that the first 5 decimals coincide. The cubic root of 1038142720 is about 1012.5559288315. Note that the first 3 decimals are identical.

The spelling of 1038142720 in words is "one billion, thirty-eight million, one hundred forty-two thousand, seven hundred twenty".