10044263440 has 40 divisors (see below), whose sum is σ = 23376997080. Its totient is φ = 4013561856.

The previous prime is 10044263401. The next prime is 10044263441. The reversal of 10044263440 is 4436244001.

It can be written as a sum of positive squares in 4 ways, for example, as 4417463296 + 5626800144 = 66464^2 + 75012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10044263399 and 10044263408.

It is not an unprimeable number, because it can be changed into a prime (10044263441) 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, 13906 + ... + 142414.

It is an arithmetic number, because the mean of its divisors is an integer number (584424927).

Almost surely, 2^10044263440 is an apocalyptic number.

10044263440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044263440 is an abundant number, since it is smaller than the sum of its proper divisors (13332733640).

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

10044263440 is a wasteful number, since it uses less digits than its factorization.

10044263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129499 (or 129493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 10044263440 in words is "ten billion, forty-four million, two hundred sixty-three thousand, four hundred forty".