10666445140 has 72 divisors (see below), whose sum is σ = 24319272600. Its totient is φ = 3927965184.

The previous prime is 10666445129. The next prime is 10666445219. The reversal of 10666445140 is 4154466601.

It can be written as a sum of positive squares in 12 ways, for example, as 5255960004 + 5410485136 = 72498^2 + 73556^2 .

It is a super-2 number, since 2×10666445140² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10666445140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337886 + ... + 1345834.

It is an arithmetic number, because the mean of its divisors is an integer number (337767675).

Almost surely, 2^10666445140 is an apocalyptic number.

10666445140 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 10666445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159636300).

10666445140 is an abundant number, since it is smaller than the sum of its proper divisors (13652827460).

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

10666445140 is a wasteful number, since it uses less digits than its factorization.

10666445140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 10666445140 in words is "ten billion, six hundred sixty-six million, four hundred forty-five thousand, one hundred forty".