10344221400 has 192 divisors, whose sum is σ = 32759644320. Its totient is φ = 2699366400.

The previous prime is 10344221383. The next prime is 10344221543. The reversal of 10344221400 is 412244301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8527194 + ... + 8528406.

Almost surely, 2^10344221400 is an apocalyptic number.

10344221400 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 10344221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379822160).

10344221400 is an abundant number, since it is smaller than the sum of its proper divisors (22415422920).

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

10344221400 is a wasteful number, since it uses less digits than its factorization.

10344221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10344221400 its reverse (412244301), we get a palindrome (10756465701).

The spelling of 10344221400 in words is "ten billion, three hundred forty-four million, two hundred twenty-one thousand, four hundred".