10024440320 has 80 divisors (see below), whose sum is σ = 25449105528. Its totient is φ = 3773890560.

The previous prime is 10024440247. The next prime is 10024440323. The reversal of 10024440320 is 2304442001.

It can be written as a sum of positive squares in 4 ways, for example, as 10022412544 + 2027776 = 100112^2 + 1424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10024440292 and 10024440301.

It is not an unprimeable number, because it can be changed into a prime (10024440323) 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, 71651 + ... + 158690.

Almost surely, 2^10024440320 is an apocalyptic number.

10024440320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024440320 is an abundant number, since it is smaller than the sum of its proper divisors (15424665208).

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

10024440320 is an equidigital number, since it uses as much as digits as its factorization.

10024440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230381 (or 230365 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10024440320 its reverse (2304442001), we get a palindrome (12328882321).

The spelling of 10024440320 in words is "ten billion, twenty-four million, four hundred forty thousand, three hundred twenty".