10609971942144 has 144 divisors (see below), whose sum is σ = 29159527921664. Its totient is φ = 3421323878400.

The previous prime is 10609971942139. The next prime is 10609971942161. The reversal of 10609971942144 is 44124917990601.

It is a happy number.

It is a super-2 number, since 2×10609971942144² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66368292 + ... + 66527964.

Almost surely, 2^{10609971942144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609971942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579763960832).

10609971942144 is an abundant number, since it is smaller than the sum of its proper divisors (18549555979520).

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

10609971942144 is a wasteful number, since it uses less digits than its factorization.

10609971942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162514 (or 162500 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10609971942144 in words is "ten trillion, six hundred nine billion, nine hundred seventy-one million, nine hundred forty-two thousand, one hundred forty-four".