1042790400 has 432 divisors, whose sum is σ = 3907874880. Its totient is φ = 265420800.

The previous prime is 1042790393. The next prime is 1042790417. The reversal of 1042790400 is 40972401.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 14284764 + ... + 14284836.

Almost surely, 2^1042790400 is an apocalyptic number.

1042790400 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 1042790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953937440).

1042790400 is an abundant number, since it is smaller than the sum of its proper divisors (2865084480).

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

1042790400 is a wasteful number, since it uses less digits than its factorization.

1042790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1042790400 is about 32292.2653277840. The cubic root of 1042790400 is about 1014.0647228274.

The spelling of 1042790400 in words is "one billion, forty-two million, seven hundred ninety thousand, four hundred".