14004444400 has 120 divisors (see below), whose sum is σ = 34367112864. Its totient is φ = 5482214400.

The previous prime is 14004444371. The next prime is 14004444403. The reversal of 14004444400 is 444440041.

It is a happy number.

It is a super-2 number, since 2×14004444400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004444403) 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, 13715890 + ... + 13716910.

Almost surely, 2^14004444400 is an apocalyptic number.

14004444400 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 14004444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183556432).

14004444400 is an abundant number, since it is smaller than the sum of its proper divisors (20362668464).

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

14004444400 is a wasteful number, since it uses less digits than its factorization.

14004444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 14004444400 its reverse (444440041), we get a palindrome (14448884441).

The spelling of 14004444400 in words is "fourteen billion, four million, four hundred forty-four thousand, four hundred".