1131631440 has 160 divisors (see below), whose sum is σ = 3664051200. Its totient is φ = 288583680.

The previous prime is 1131631433. The next prime is 1131631477. The reversal of 1131631440 is 441361311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1131631440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661306 + ... + 663014.

It is an arithmetic number, because the mean of its divisors is an integer number (22900320).

Almost surely, 2^1131631440 is an apocalyptic number.

1131631440 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 1131631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

1131631440 is an abundant number, since it is smaller than the sum of its proper divisors (2532419760).

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

1131631440 is a wasteful number, since it uses less digits than its factorization.

1131631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1131631440 is about 33639.7300821514. The cubic root of 1131631440 is about 1042.0814576210.

Adding to 1131631440 its reverse (441361311), we get a palindrome (1572992751).

The spelling of 1131631440 in words is "one billion, one hundred thirty-one million, six hundred thirty-one thousand, four hundred forty".