1140518377152 has 2352 divisors, whose sum is σ = 4726236928000. Its totient is φ = 271593907200.

The previous prime is 1140518377093. The next prime is 1140518377169. The reversal of 1140518377152 is 2517738150411.

1140518377152 is a `hidden beast` number, since 1 + 14 + 0 + 518 + 3 + 7 + 71 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×1140518377152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140518377098 and 1140518377107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 36790915377 + ... + 36790915407.

Almost surely, 2^{1140518377152} is an apocalyptic number.

1140518377152 is a gapful number since it is divisible by the number (12) 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 1140518377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363118464000).

1140518377152 is an abundant number, since it is smaller than the sum of its proper divisors (3585718550848).

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

1140518377152 is an equidigital number, since it uses as much as digits as its factorization.

1140518377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 1140518377152 in words is "one trillion, one hundred forty billion, five hundred eighteen million, three hundred seventy-seven thousand, one hundred fifty-two".