10024411120 has 80 divisors (see below), whose sum is σ = 24151311360. Its totient is φ = 3866833152.

The previous prime is 10024411087. The next prime is 10024411151. The reversal of 10024411120 is 2111442001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10024411094 and 10024411103.

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, 253317 + ... + 290203.

It is an arithmetic number, because the mean of its divisors is an integer number (301891392).

Almost surely, 2^10024411120 is an apocalyptic number.

10024411120 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 10024411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075655680).

10024411120 is an abundant number, since it is smaller than the sum of its proper divisors (14126900240).

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

10024411120 is a wasteful number, since it uses less digits than its factorization.

10024411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37022 (or 37016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10024411120 its reverse (2111442001), we get a palindrome (12135853121).

The spelling of 10024411120 in words is "ten billion, twenty-four million, four hundred eleven thousand, one hundred twenty".