1042413120 has 336 divisors, whose sum is σ = 4241352960. Its totient is φ = 229920768.

The previous prime is 1042413103. The next prime is 1042413139. The reversal of 1042413120 is 213142401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1042413120² = 2173250225496268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042413093 and 1042413102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583749 + ... + 585531.

Almost surely, 2^1042413120 is an apocalyptic number.

1042413120 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 1042413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120676480).

1042413120 is an abundant number, since it is smaller than the sum of its proper divisors (3198939840).

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

1042413120 is a wasteful number, since it uses less digits than its factorization.

1042413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042413120 is about 32286.4231527743. The cubic root of 1042413120 is about 1013.9424123779.

Adding to 1042413120 its reverse (213142401), we get a palindrome (1255555521).

The spelling of 1042413120 in words is "one billion, forty-two million, four hundred thirteen thousand, one hundred twenty".