10024433120 has 96 divisors (see below), whose sum is σ = 25791514560. Its totient is φ = 3659673600.

The previous prime is 10024433119. The next prime is 10024433147. The reversal of 10024433120 is 2133442001.

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 = 10024433092 and 10024433101.

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, 158045 + ... + 212195.

It is an arithmetic number, because the mean of its divisors is an integer number (268661610).

Almost surely, 2^10024433120 is an apocalyptic number.

10024433120 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 10024433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895757280).

10024433120 is an abundant number, since it is smaller than the sum of its proper divisors (15767081440).

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

10024433120 is a wasteful number, since it uses less digits than its factorization.

10024433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54268 (or 54260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10024433120 its reverse (2133442001), we get a palindrome (12157875121).

The spelling of 10024433120 in words is "ten billion, twenty-four million, four hundred thirty-three thousand, one hundred twenty".