44114410100 has 72 divisors (see below), whose sum is σ = 101429055000. Its totient is φ = 16596357120.

The previous prime is 44114410063. The next prime is 44114410103. The reversal of 44114410100 is 101441144.

It is a happy number.

44114410100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10097034256 + 34017375844 = 100484^2 + 184438^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114410103) 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, 2706776 + ... + 2723024.

It is an arithmetic number, because the mean of its divisors is an integer number (1408736875).

Almost surely, 2^44114410100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44114410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50714527500).

44114410100 is an abundant number, since it is smaller than the sum of its proper divisors (57314644900).

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

44114410100 is a wasteful number, since it uses less digits than its factorization.

44114410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17877 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 44114410100 its reverse (101441144), we get a palindrome (44215851244).

The spelling of 44114410100 in words is "forty-four billion, one hundred fourteen million, four hundred ten thousand, one hundred".