1042331200 has 84 divisors (see below), whose sum is σ = 2715726852. Its totient is φ = 392396800.

The previous prime is 1042331179. The next prime is 1042331201. The reversal of 1042331200 is 21332401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4460544 + 1037870656 = 2112^2 + 32216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1042331201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8040 + ... + 46360.

Almost surely, 2^1042331200 is an apocalyptic number.

1042331200 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 1042331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357863426).

1042331200 is an abundant number, since it is smaller than the sum of its proper divisors (1673395652).

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

1042331200 is a wasteful number, since it uses less digits than its factorization.

1042331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38360 (or 38345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1042331200 is about 32285.1544831367. The cubic root of 1042331200 is about 1013.9158508235.

Adding to 1042331200 its reverse (21332401), we get a palindrome (1063663601).

The spelling of 1042331200 in words is "one billion, forty-two million, three hundred thirty-one thousand, two hundred".