10844689440 has 288 divisors, whose sum is σ = 37863080640. Its totient is φ = 2606542848.

The previous prime is 10844689433. The next prime is 10844689501. The reversal of 10844689440 is 4498644801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10844689440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3486606 + ... + 3489714.

It is an arithmetic number, because the mean of its divisors is an integer number (131469030).

Almost surely, 2^10844689440 is an apocalyptic number.

10844689440 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 10844689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18931540320).

10844689440 is an abundant number, since it is smaller than the sum of its proper divisors (27018391200).

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

10844689440 is a wasteful number, since it uses less digits than its factorization.

10844689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 10844689440 in words is "ten billion, eight hundred forty-four million, six hundred eighty-nine thousand, four hundred forty".