14342404400 has 120 divisors (see below), whose sum is σ = 36566588160. Its totient is φ = 5394315520.

The previous prime is 14342404367. The next prime is 14342404411. The reversal of 14342404400 is 440424341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14342404400.

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, 529589 + ... + 556011.

It is an arithmetic number, because the mean of its divisors is an integer number (304721568).

Almost surely, 2^14342404400 is an apocalyptic number.

14342404400 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 14342404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283294080).

14342404400 is an abundant number, since it is smaller than the sum of its proper divisors (22224183760).

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

14342404400 is a wasteful number, since it uses less digits than its factorization.

14342404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26523 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14342404400 its reverse (440424341), we get a palindrome (14782828741).

The spelling of 14342404400 in words is "fourteen billion, three hundred forty-two million, four hundred four thousand, four hundred".