1042917120 has 432 divisors, whose sum is σ = 4285532160. Its totient is φ = 237883392.

The previous prime is 1042917119. The next prime is 1042917133. The reversal of 1042917120 is 217192401.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1042917120² = 2175352238378188800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 2177041 + ... + 2177519.

Almost surely, 2^1042917120 is an apocalyptic number.

1042917120 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 1042917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080).

1042917120 is an abundant number, since it is smaller than the sum of its proper divisors (3242615040).

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

1042917120 is an frugal number, since it uses more digits than its factorization.

1042917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1042917120 is about 32294.2273479333. The cubic root of 1042917120 is about 1014.1057975812.

The spelling of 1042917120 in words is "one billion, forty-two million, nine hundred seventeen thousand, one hundred twenty".