1140262465440 has 576 divisors, whose sum is σ = 4414413427200. Its totient is φ = 246283075584.

The previous prime is 1140262465439. The next prime is 1140262465457. The reversal of 1140262465440 is 445642620411.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32039976 + ... + 32075544.

It is an arithmetic number, because the mean of its divisors is an integer number (7663912200).

Almost surely, 2^{1140262465440} is an apocalyptic number.

1140262465440 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 1140262465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207206713600).

1140262465440 is an abundant number, since it is smaller than the sum of its proper divisors (3274150961760).

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

1140262465440 is a wasteful number, since it uses less digits than its factorization.

1140262465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35677 (or 35662 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 1140262465440 in words is "one trillion, one hundred forty billion, two hundred sixty-two million, four hundred sixty-five thousand, four hundred forty".