10010344400 has 120 divisors (see below), whose sum is σ = 27519042240. Its totient is φ = 3427937280.

The previous prime is 10010344373. The next prime is 10010344411. The reversal of 10010344400 is 444301001.

10010344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010344400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069971 + ... + 3073229.

It is an arithmetic number, because the mean of its divisors is an integer number (229325352).

Almost surely, 2^10010344400 is an apocalyptic number.

10010344400 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 10010344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759521120).

10010344400 is an abundant number, since it is smaller than the sum of its proper divisors (17508697840).

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

10010344400 is a wasteful number, since it uses less digits than its factorization.

10010344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10010344400 its reverse (444301001), we get a palindrome (10454645401).

The spelling of 10010344400 in words is "ten billion, ten million, three hundred forty-four thousand, four hundred".