1042113600 has 840 divisors, whose sum is σ = 4527487008. Its totient is φ = 232243200.

The previous prime is 1042113551. The next prime is 1042113623. The reversal of 1042113600 is 63112401.

It is a happy number.

1042113600 is a `hidden beast` number, since 10 + 42 + 1 + 13 + 600 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 24235179 + ... + 24235221.

Almost surely, 2^1042113600 is an apocalyptic number.

1042113600 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 1042113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263743504).

1042113600 is an abundant number, since it is smaller than the sum of its proper divisors (3485373408).

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

1042113600 is a wasteful number, since it uses less digits than its factorization.

1042113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1042113600 is about 32281.7843373008. The cubic root of 1042113600 is about 1013.8452899359.

The spelling of 1042113600 in words is "one billion, forty-two million, one hundred thirteen thousand, six hundred".