10024421440 has 224 divisors, whose sum is σ = 26946855936. Its totient is φ = 3520419840.

The previous prime is 10024421417. The next prime is 10024421441. The reversal of 10024421440 is 4412442001.

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

It is not an unprimeable number, because it can be changed into a prime (10024421441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15589759 + ... + 15590401.

It is an arithmetic number, because the mean of its divisors is an integer number (120298464).

Almost surely, 2^10024421440 is an apocalyptic number.

10024421440 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 10024421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473427968).

10024421440 is an abundant number, since it is smaller than the sum of its proper divisors (16922434496).

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

10024421440 is a wasteful number, since it uses less digits than its factorization.

10024421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10024421440 its reverse (4412442001), we get a palindrome (14436863441).

The spelling of 10024421440 in words is "ten billion, twenty-four million, four hundred twenty-one thousand, four hundred forty".