10024431312 has 320 divisors, whose sum is σ = 33051852800. Its totient is φ = 2554882560.

The previous prime is 10024431311. The next prime is 10024431353. The reversal of 10024431312 is 21313442001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024431311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270930558 + ... + 270930594.

It is an arithmetic number, because the mean of its divisors is an integer number (103287040).

Almost surely, 2^10024431312 is an apocalyptic number.

10024431312 is a gapful number since it is divisible by the number (12) 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 10024431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525926400).

10024431312 is an abundant number, since it is smaller than the sum of its proper divisors (23027421488).

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

10024431312 is an equidigital number, since it uses as much as digits as its factorization.

10024431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10024431312 its reverse (21313442001), we get a palindrome (31337873313).

The spelling of 10024431312 in words is "ten billion, twenty-four million, four hundred thirty-one thousand, three hundred twelve".