10442233141120 has 128 divisors (see below), whose sum is σ = 27236146773600. Its totient is φ = 3796718714880.

The previous prime is 10442233141073. The next prime is 10442233141147. The reversal of 10442233141120 is 2114133224401.

It is a happy number.

10442233141120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 61423596 + ... + 61593364.

Almost surely, 2^{10442233141120} is an apocalyptic number.

10442233141120 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 10442233141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618073386800).

10442233141120 is an abundant number, since it is smaller than the sum of its proper divisors (16793913632480).

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

10442233141120 is a wasteful number, since it uses less digits than its factorization.

10442233141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178536 (or 178524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10442233141120 its reverse (2114133224401), we get a palindrome (12556366365521).

The spelling of 10442233141120 in words is "ten trillion, four hundred forty-two billion, two hundred thirty-three million, one hundred forty-one thousand, one hundred twenty".