1140312134144 has 80 divisors (see below), whose sum is σ = 2298748370688. Its totient is φ = 565086031872.

The previous prime is 1140312134131. The next prime is 1140312134161. The reversal of 1140312134144 is 4414312130411.

It is a happy number.

It is a super-2 number, since 2×1140312134144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25895954 + ... + 25939950.

Almost surely, 2^{1140312134144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140312134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149374185344).

1140312134144 is an abundant number, since it is smaller than the sum of its proper divisors (1158436236544).

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

1140312134144 is an equidigital number, since it uses as much as digits as its factorization.

1140312134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44465 (or 44449 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1140312134144 its reverse (4414312130411), we get a palindrome (5554624264555).

The spelling of 1140312134144 in words is "one trillion, one hundred forty billion, three hundred twelve million, one hundred thirty-four thousand, one hundred forty-four".