10942144128 has 96 divisors (see below), whose sum is σ = 31957342560. Its totient is φ = 3592917504.

The previous prime is 10942144123. The next prime is 10942144159. The reversal of 10942144128 is 82144124901.

10942144128 is a `hidden beast` number, since 109 + 421 + 4 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10942144092 and 10942144101.

It is not an unprimeable number, because it can be changed into a prime (10942144123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6301 + ... + 148067.

It is an arithmetic number, because the mean of its divisors is an integer number (332888985).

Almost surely, 2^10942144128 is an apocalyptic number.

10942144128 is a gapful number since it is divisible by the number (18) 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 10942144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978671280).

10942144128 is an abundant number, since it is smaller than the sum of its proper divisors (21015198432).

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

10942144128 is a wasteful number, since it uses less digits than its factorization.

10942144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141854 (or 141839 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10942144128 in words is "ten billion, nine hundred forty-two million, one hundred forty-four thousand, one hundred twenty-eight".