1140426293760 has 960 divisors, whose sum is σ = 4554258508800. Its totient is φ = 271605104640.

The previous prime is 1140426293759. The next prime is 1140426293869. The reversal of 1140426293760 is 673926240411.

1140426293760 is a `hidden beast` number, since 1 + 14 + 0 + 4 + 2 + 629 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 250695966 + ... + 250700514.

It is an arithmetic number, because the mean of its divisors is an integer number (4744019280).

Almost surely, 2^{1140426293760} is an apocalyptic number.

1140426293760 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 1140426293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277129254400).

1140426293760 is an abundant number, since it is smaller than the sum of its proper divisors (3413832215040).

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

1140426293760 is an equidigital number, since it uses as much as digits as its factorization.

1140426293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1140426293760 in words is "one trillion, one hundred forty billion, four hundred twenty-six million, two hundred ninety-three thousand, seven hundred sixty".