1131431352240 has 640 divisors, whose sum is σ = 4208930611200. Its totient is φ = 251171020800.

The previous prime is 1131431352223. The next prime is 1131431352251. The reversal of 1131431352240 is 422531341311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1131431352198 and 1131431352207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 914656902 + ... + 914658138.

It is an arithmetic number, because the mean of its divisors is an integer number (6576454080).

Almost surely, 2^{1131431352240} is an apocalyptic number.

1131431352240 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 1131431352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104465305600).

1131431352240 is an abundant number, since it is smaller than the sum of its proper divisors (3077499258960).

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

1131431352240 is a wasteful number, since it uses less digits than its factorization.

1131431352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1131431352240 its reverse (422531341311), we get a palindrome (1553962693551).

The spelling of 1131431352240 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-one million, three hundred fifty-two thousand, two hundred forty".