10044300402400 has 576 divisors, whose sum is σ = 29685140029440. Its totient is φ = 3277290240000.

The previous prime is 10044300402349. The next prime is 10044300402403. The reversal of 10044300402400 is 420400344001.

10044300402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044300402403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243589785 + ... + 243631015.

It is an arithmetic number, because the mean of its divisors is an integer number (51536701440).

Almost surely, 2^{10044300402400} is an apocalyptic number.

10044300402400 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 10044300402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842570014720).

10044300402400 is an abundant number, since it is smaller than the sum of its proper divisors (19640839627040).

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

10044300402400 is a wasteful number, since it uses less digits than its factorization.

10044300402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41359 (or 41346 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10044300402400 its reverse (420400344001), we get a palindrome (10464700746401).

The spelling of 10044300402400 in words is "ten trillion, forty-four billion, three hundred million, four hundred two thousand, four hundred".