10440881024 has 192 divisors, whose sum is σ = 25705036320. Its totient is φ = 4136140800.

The previous prime is 10440881021. The next prime is 10440881047. The reversal of 10440881024 is 42018804401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440881021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15795254 + ... + 15795914.

Almost surely, 2^10440881024 is an apocalyptic number.

10440881024 is a gapful number since it is divisible by the number (14) 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 10440881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852518160).

10440881024 is an abundant number, since it is smaller than the sum of its proper divisors (15264155296).

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

10440881024 is an equidigital number, since it uses as much as digits as its factorization.

10440881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 10440881024 in words is "ten billion, four hundred forty million, eight hundred eighty-one thousand, twenty-four".