10024441120 has 48 divisors (see below), whose sum is σ = 23688738360. Its totient is φ = 4008761344.

The previous prime is 10024441099. The next prime is 10024441121. The reversal of 10024441120 is 2114442001.

It can be written as a sum of positive squares in 4 ways, for example, as 3715633936 + 6308807184 = 60956^2 + 79428^2 .

It is not an unprimeable number, because it can be changed into a prime (10024441121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185066 + ... + 1193494.

Almost surely, 2^10024441120 is an apocalyptic number.

10024441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024441120 is an abundant number, since it is smaller than the sum of its proper divisors (13664297240).

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

10024441120 is an equidigital number, since it uses as much as digits as its factorization.

10024441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15877 (or 15869 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10024441120 its reverse (2114442001), we get a palindrome (12138883121).

The spelling of 10024441120 in words is "ten billion, twenty-four million, four hundred forty-one thousand, one hundred twenty".