10024444040 has 64 divisors (see below), whose sum is σ = 24946533360. Its totient is φ = 3601290240.

The previous prime is 10024444033. The next prime is 10024444127. The reversal of 10024444040 is 4044442001.

It can be written as a sum of positive squares in 8 ways, for example, as 4417729156 + 5606714884 = 66466^2 + 74878^2 .

It is a super-2 number, since 2×10024444040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024443997 and 10024444015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241271 + ... + 279750.

Almost surely, 2^10024444040 is an apocalyptic number.

10024444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024444040 is an abundant number, since it is smaller than the sum of its proper divisors (14922089320).

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

10024444040 is a wasteful number, since it uses less digits than its factorization.

10024444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521082 (or 521078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 10024444040 its reverse (4044442001), we get a palindrome (14068886041).

The spelling of 10024444040 in words is "ten billion, twenty-four million, four hundred forty-four thousand, forty".