10444202400 has 144 divisors (see below), whose sum is σ = 34047445824. Its totient is φ = 2780897280.

The previous prime is 10444202393. The next prime is 10444202407. The reversal of 10444202400 is 420244401.

It is an interprime number because it is at equal distance from previous prime (10444202393) and next prime (10444202407).

It is not an unprimeable number, because it can be changed into a prime (10444202407) 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, 1780272 + ... + 1786128.

It is an arithmetic number, because the mean of its divisors is an integer number (236440596).

Almost surely, 2^10444202400 is an apocalyptic number.

10444202400 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 10444202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023722912).

10444202400 is an abundant number, since it is smaller than the sum of its proper divisors (23603243424).

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

10444202400 is a wasteful number, since it uses less digits than its factorization.

10444202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10444202400 its reverse (420244401), we get a palindrome (10864446801).

The spelling of 10444202400 in words is "ten billion, four hundred forty-four million, two hundred two thousand, four hundred".