1041331200 has 528 divisors, whose sum is σ = 4264310400. Its totient is φ = 218234880.

The previous prime is 1041331177. The next prime is 1041331229. The reversal of 1041331200 is 21331401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1041331200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988726 + ... + 6988874.

Almost surely, 2^1041331200 is an apocalyptic number.

1041331200 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 1041331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132155200).

1041331200 is an abundant number, since it is smaller than the sum of its proper divisors (3222979200).

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

1041331200 is a wasteful number, since it uses less digits than its factorization.

1041331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1041331200 is about 32269.6637726519. The cubic root of 1041331200 is about 1013.5915008568.

Adding to 1041331200 its reverse (21331401), we get a palindrome (1062662601).

The spelling of 1041331200 in words is "one billion, forty-one million, three hundred thirty-one thousand, two hundred".