14013104400 has 180 divisors, whose sum is σ = 48721950420. Its totient is φ = 3729715200.

The previous prime is 14013104363. The next prime is 14013104423. The reversal of 14013104400 is 440131041.

It can be written as a sum of positive squares in 6 ways, for example, as 497646864 + 13515457536 = 22308^2 + 116256^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2044980 + ... + 2051820.

Almost surely, 2^14013104400 is an apocalyptic number.

14013104400 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 14013104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360975210).

14013104400 is an abundant number, since it is smaller than the sum of its proper divisors (34708846020).

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

14013104400 is a wasteful number, since it uses less digits than its factorization.

14013104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14013104400 its reverse (440131041), we get a palindrome (14453235441).

The spelling of 14013104400 in words is "fourteen billion, thirteen million, one hundred four thousand, four hundred".