10444861440 has 416 divisors, whose sum is σ = 40016639040. Its totient is φ = 2569273344.

The previous prime is 10444861433. The next prime is 10444861447. The reversal of 10444861440 is 4416844401.

It is an interprime number because it is at equal distance from previous prime (10444861433) and next prime (10444861447).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10444861395 and 10444861404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444861447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7187754 + ... + 7189206.

Almost surely, 2^10444861440 is an apocalyptic number.

10444861440 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 10444861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20008319520).

10444861440 is an abundant number, since it is smaller than the sum of its proper divisors (29571777600).

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

10444861440 is a wasteful number, since it uses less digits than its factorization.

10444861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10444861440 in words is "ten billion, four hundred forty-four million, eight hundred sixty-one thousand, four hundred forty".