1161442007680 has 96 divisors (see below), whose sum is σ = 2930399602740. Its totient is φ = 440125304832.

The previous prime is 1161442007659. The next prime is 1161442007701. The reversal of 1161442007680 is 867002441611.

It is an interprime number because it is at equal distance from previous prime (1161442007659) and next prime (1161442007701).

It can be written as a sum of positive squares in 2 ways, for example, as 1147349468736 + 14092538944 = 1071144^2 + 118712^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2282469 + ... + 2744548.

Almost surely, 2^{1161442007680} is an apocalyptic number.

1161442007680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161442007680 is an abundant number, since it is smaller than the sum of its proper divisors (1768957595060).

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

1161442007680 is an equidigital number, since it uses as much as digits as its factorization.

1161442007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027074 (or 5027043 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 1161442007680 in words is "one trillion, one hundred sixty-one billion, four hundred forty-two million, seven thousand, six hundred eighty".