10444451200 has 96 divisors (see below), whose sum is σ = 25896400560. Its totient is φ = 4162344960.

The previous prime is 10444451191. The next prime is 10444451207. The reversal of 10444451200 is 215444401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444451207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880509 + ... + 892291.

Almost surely, 2^10444451200 is an apocalyptic number.

10444451200 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 10444451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948200280).

10444451200 is an abundant number, since it is smaller than the sum of its proper divisors (15451949360).

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

10444451200 is a wasteful number, since it uses less digits than its factorization.

10444451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10444451200 its reverse (215444401), we get a palindrome (10659895601).

The spelling of 10444451200 in words is "ten billion, four hundred forty-four million, four hundred fifty-one thousand, two hundred".