14108942400 has 504 divisors, whose sum is σ = 54289025280. Its totient is φ = 3198504960.

The previous prime is 14108942383. The next prime is 14108942401. The reversal of 14108942400 is 424980141.

It is not an unprimeable number, because it can be changed into a prime (14108942401) 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 71 ways as a sum of consecutive naturals, for example, 52449466 + ... + 52449734.

It is an arithmetic number, because the mean of its divisors is an integer number (107716320).

Almost surely, 2^14108942400 is an apocalyptic number.

14108942400 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 14108942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144512640).

14108942400 is an abundant number, since it is smaller than the sum of its proper divisors (40180082880).

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

14108942400 is a wasteful number, since it uses less digits than its factorization.

14108942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 14108942400 in words is "fourteen billion, one hundred eight million, nine hundred forty-two thousand, four hundred".