10024414120 has 96 divisors (see below), whose sum is σ = 26336291400. Its totient is φ = 3423985152.

The previous prime is 10024414073. The next prime is 10024414121. The reversal of 10024414120 is 2141442001.

It can be written as a sum of positive squares in 4 ways, for example, as 1948516164 + 8075897956 = 44142^2 + 89866^2 .

It is not an unprimeable number, because it can be changed into a prime (10024414121) 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, 517734 + ... + 536746.

Almost surely, 2^10024414120 is an apocalyptic number.

10024414120 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 10024414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168145700).

10024414120 is an abundant number, since it is smaller than the sum of its proper divisors (16311877280).

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

10024414120 is a wasteful number, since it uses less digits than its factorization.

10024414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19307 (or 19296 counting only the distinct ones).

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

Adding to 10024414120 its reverse (2141442001), we get a palindrome (12165856121).

The spelling of 10024414120 in words is "ten billion, twenty-four million, four hundred fourteen thousand, one hundred twenty".