1166442510440 has 64 divisors (see below), whose sum is σ = 2807526128400. Its totient is φ = 434604146688.

The previous prime is 1166442510421. The next prime is 1166442510449. The reversal of 1166442510440 is 440152446611.

It can be written as a sum of positive squares in 8 ways, for example, as 220837964356 + 945604546084 = 469934^2 + 972422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1166442510394 and 1166442510403.

It is not an unprimeable number, because it can be changed into a prime (1166442510449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8776085 + ... + 8908004.

Almost surely, 2^{1166442510440} is an apocalyptic number.

1166442510440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166442510440 is an abundant number, since it is smaller than the sum of its proper divisors (1641083617960).

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

1166442510440 is a wasteful number, since it uses less digits than its factorization.

1166442510440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17684214 (or 17684210 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 1166442510440 in words is "one trillion, one hundred sixty-six billion, four hundred forty-two million, five hundred ten thousand, four hundred forty".