10024431340 has 288 divisors, whose sum is σ = 27429494400. Its totient is φ = 3010867200.

The previous prime is 10024431311. The next prime is 10024431353. The reversal of 10024431340 is 4313442001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91967206 + ... + 91967314.

It is an arithmetic number, because the mean of its divisors is an integer number (95241300).

Almost surely, 2^10024431340 is an apocalyptic number.

10024431340 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 10024431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714747200).

10024431340 is an abundant number, since it is smaller than the sum of its proper divisors (17405063060).

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

10024431340 is a wasteful number, since it uses less digits than its factorization.

10024431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10024431340 its reverse (4313442001), we get a palindrome (14337873341).

The spelling of 10024431340 in words is "ten billion, twenty-four million, four hundred thirty-one thousand, three hundred forty".