14342344400 has 120 divisors (see below), whose sum is σ = 36231814200. Its totient is φ = 5448038400.

The previous prime is 14342344349. The next prime is 14342344417. The reversal of 14342344400 is 444324341.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5672499856 + 8669844544 = 75316^2 + 93112^2 .

It is a super-2 number, since 2×14342344400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697466 + ... + 717734.

It is an arithmetic number, because the mean of its divisors is an integer number (301931785).

Almost surely, 2^14342344400 is an apocalyptic number.

14342344400 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 14342344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115907100).

14342344400 is an abundant number, since it is smaller than the sum of its proper divisors (21889469800).

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

14342344400 is a wasteful number, since it uses less digits than its factorization.

14342344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14342344400 its reverse (444324341), we get a palindrome (14786668741).

The spelling of 14342344400 in words is "fourteen billion, three hundred forty-two million, three hundred forty-four thousand, four hundred".