1031344400 has 120 divisors (see below), whose sum is σ = 2603464320. Its totient is φ = 392071680.

The previous prime is 1031344399. The next prime is 1031344411. The reversal of 1031344400 is 44431301.

It is a happy number.

It is a super-2 number, since 2×1031344400² = 2127342542822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 776537 + ... + 777863.

It is an arithmetic number, because the mean of its divisors is an integer number (21695536).

Almost surely, 2^1031344400 is an apocalyptic number.

1031344400 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 1031344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301732160).

1031344400 is an abundant number, since it is smaller than the sum of its proper divisors (1572119920).

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

1031344400 is a wasteful number, since it uses less digits than its factorization.

1031344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1031344400 is about 32114.5512190347. The cubic root of 1031344400 is about 1010.3408319368.

Adding to 1031344400 its reverse (44431301), we get a palindrome (1075775701).

The spelling of 1031344400 in words is "one billion, thirty-one million, three hundred forty-four thousand, four hundred".