1041311200 has 144 divisors (see below), whose sum is σ = 2809507680. Its totient is φ = 374865920.

The previous prime is 1041311197. The next prime is 1041311203. The reversal of 1041311200 is 21131401.

It is an interprime number because it is at equal distance from previous prime (1041311197) and next prime (1041311203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041311203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 311136 + ... + 314464.

It is an arithmetic number, because the mean of its divisors is an integer number (19510470).

Almost surely, 2^1041311200 is an apocalyptic number.

1041311200 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 1041311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404753840).

1041311200 is an abundant number, since it is smaller than the sum of its proper divisors (1768196480).

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

1041311200 is a wasteful number, since it uses less digits than its factorization.

1041311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1041311200 is about 32269.3538825927. The cubic root of 1041311200 is about 1013.5850117399.

Adding to 1041311200 its reverse (21131401), we get a palindrome (1062442601).

The spelling of 1041311200 in words is "one billion, forty-one million, three hundred eleven thousand, two hundred".