14102400400 has 240 divisors, whose sum is σ = 39821379840. Its totient is φ = 4744051200.

The previous prime is 14102400383. The next prime is 14102400407. The reversal of 14102400400 is 400420141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14102400407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3592839 + ... + 3596761.

It is an arithmetic number, because the mean of its divisors is an integer number (165922416).

Almost surely, 2^14102400400 is an apocalyptic number.

14102400400 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 14102400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910689920).

14102400400 is an abundant number, since it is smaller than the sum of its proper divisors (25718979440).

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

14102400400 is a wasteful number, since it uses less digits than its factorization.

14102400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14102400400 its reverse (400420141), we get a palindrome (14502820541).

The spelling of 14102400400 in words is "fourteen billion, one hundred two million, four hundred thousand, four hundred".