14100442400 has 72 divisors (see below), whose sum is σ = 37552065264. Its totient is φ = 5127430400.

The previous prime is 14100442381. The next prime is 14100442409. The reversal of 14100442400 is 424400141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14100442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792362 + ... + 809961.

It is an arithmetic number, because the mean of its divisors is an integer number (521556462).

Almost surely, 2^14100442400 is an apocalyptic number.

14100442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100442400 is an abundant number, since it is smaller than the sum of its proper divisors (23451622864).

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

14100442400 is a wasteful number, since it uses less digits than its factorization.

14100442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602354 (or 1602341 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14100442400 its reverse (424400141), we get a palindrome (14524842541).

The spelling of 14100442400 in words is "fourteen billion, one hundred million, four hundred forty-two thousand, four hundred".