1182680040960 has 800 divisors, whose sum is σ = 4677500120832. Its totient is φ = 283210629120.

The previous prime is 1182680040869. The next prime is 1182680041007. The reversal of 1182680040960 is 690400862811.

1182680040960 is a `hidden beast` number, since 1 + 182 + 6 + 8 + 0 + 0 + 409 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189316557 + ... + 189322803.

Almost surely, 2^{1182680040960} is an apocalyptic number.

1182680040960 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 1182680040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338750060416).

1182680040960 is an abundant number, since it is smaller than the sum of its proper divisors (3494820079872).

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

1182680040960 is an equidigital number, since it uses as much as digits as its factorization.

1182680040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1182680040960 in words is "one trillion, one hundred eighty-two billion, six hundred eighty million, forty thousand, nine hundred sixty".