10444311440 has 60 divisors (see below), whose sum is σ = 24750371604. Its totient is φ = 4098811392.

The previous prime is 10444311433. The next prime is 10444311461. The reversal of 10444311440 is 4411344401.

It can be written as a sum of positive squares in 6 ways, for example, as 4376464 + 10439934976 = 2092^2 + 102176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201482 + ... + 247958.

Almost surely, 2^10444311440 is an apocalyptic number.

10444311440 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 10444311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375185802).

10444311440 is an abundant number, since it is smaller than the sum of its proper divisors (14306060164).

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

10444311440 is an equidigital number, since it uses as much as digits as its factorization.

10444311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46596 (or 46537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10444311440 its reverse (4411344401), we get a palindrome (14855655841).

The spelling of 10444311440 in words is "ten billion, four hundred forty-four million, three hundred eleven thousand, four hundred forty".