1031141400 has 192 divisors, whose sum is σ = 3481920000. Its totient is φ = 251435520.

The previous prime is 1031141387. The next prime is 1031141459. The reversal of 1031141400 is 41411301.

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 1031141400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329041 + ... + 332159.

It is an arithmetic number, because the mean of its divisors is an integer number (18135000).

Almost surely, 2^1031141400 is an apocalyptic number.

1031141400 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 1031141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960000).

1031141400 is an abundant number, since it is smaller than the sum of its proper divisors (2450778600).

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

1031141400 is a wasteful number, since it uses less digits than its factorization.

1031141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1031141400 is about 32111.3905024370. The cubic root of 1031141400 is about 1010.2745389678.

Adding to 1031141400 its reverse (41411301), we get a palindrome (1072552701).

The spelling of 1031141400 in words is "one billion, thirty-one million, one hundred forty-one thousand, four hundred".