1031040000 has 330 divisors, whose sum is σ = 3740974380. Its totient is φ = 273408000.

The previous prime is 1031039993. The next prime is 1031040007. The reversal of 1031040000 is 401301.

It is an interprime number because it is at equal distance from previous prime (1031039993) and next prime (1031040007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1031040007) 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 29 ways as a sum of consecutive naturals, for example, 5759911 + ... + 5760089.

It is an arithmetic number, because the mean of its divisors is an integer number (11336286).

Almost surely, 2^1031040000 is an apocalyptic number.

1031040000 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 1031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870487190).

1031040000 is an abundant number, since it is smaller than the sum of its proper divisors (2709934380).

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

1031040000 is an equidigital number, since it uses as much as digits as its factorization.

1031040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1031040000 is about 32109.8115846232. The cubic root of 1031040000 is about 1010.2414218815.

Adding to 1031040000 its reverse (401301), we get a palindrome (1031441301).

The spelling of 1031040000 in words is "one billion, thirty-one million, forty thousand".