10444735536800 has 144 divisors (see below), whose sum is σ = 26323344698112. Its totient is φ = 4042722355200.

The previous prime is 10444735536779. The next prime is 10444735536803. The reversal of 10444735536800 is 863553744401.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (10444735536803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421265204 + ... + 421289996.

It is an arithmetic number, because the mean of its divisors is an integer number (182801004848).

Almost surely, 2^{10444735536800} is an apocalyptic number.

10444735536800 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 10444735536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161672349056).

10444735536800 is an abundant number, since it is smaller than the sum of its proper divisors (15878609161312).

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

10444735536800 is a wasteful number, since it uses less digits than its factorization.

10444735536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41831 (or 41818 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 10444735536800 in words is "ten trillion, four hundred forty-four billion, seven hundred thirty-five million, five hundred thirty-six thousand, eight hundred".