10044413310 has 128 divisors (see below), whose sum is σ = 25260678144. Its totient is φ = 2553707520.

The previous prime is 10044413299. The next prime is 10044413383. The reversal of 10044413310 is 1331444001.

It is a super-2 number, since 2×10044413310² (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18362457 + ... + 18363003.

It is an arithmetic number, because the mean of its divisors is an integer number (197349048).

Almost surely, 2^10044413310 is an apocalyptic number.

10044413310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044413310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630339072).

10044413310 is an abundant number, since it is smaller than the sum of its proper divisors (15216264834).

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

10044413310 is a wasteful number, since it uses less digits than its factorization.

10044413310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10044413310 its reverse (1331444001), we get a palindrome (11375857311).

The spelling of 10044413310 in words is "ten billion, forty-four million, four hundred thirteen thousand, three hundred ten".