10442024120 has 96 divisors (see below), whose sum is σ = 25867265760. Its totient is φ = 3790828800.

The previous prime is 10442024111. The next prime is 10442024129. The reversal of 10442024120 is 2142024401.

It is an interprime number because it is at equal distance from previous prime (10442024111) and next prime (10442024129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10442024092 and 10442024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442024129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3739925 + ... + 3742715.

It is an arithmetic number, because the mean of its divisors is an integer number (269450685).

Almost surely, 2^10442024120 is an apocalyptic number.

10442024120 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 10442024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933632880).

10442024120 is an abundant number, since it is smaller than the sum of its proper divisors (15425241640).

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

10442024120 is a wasteful number, since it uses less digits than its factorization.

10442024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10442024120 its reverse (2142024401), we get a palindrome (12584048521).

The spelling of 10442024120 in words is "ten billion, four hundred forty-two million, twenty-four thousand, one hundred twenty".