14214042100 has 72 divisors (see below), whose sum is σ = 31881179960. Its totient is φ = 5496491520.

The previous prime is 14214042061. The next prime is 14214042103. The reversal of 14214042100 is 124041241.

It can be written as a sum of positive squares in 12 ways, for example, as 4675003876 + 9539038224 = 68374^2 + 97668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214042103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568666 + ... + 593134.

Almost surely, 2^14214042100 is an apocalyptic number.

14214042100 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 14214042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940589980).

14214042100 is an abundant number, since it is smaller than the sum of its proper divisors (17667137860).

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

14214042100 is a wasteful number, since it uses less digits than its factorization.

14214042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24677 (or 24670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 14214042100 its reverse (124041241), we get a palindrome (14338083341).

The spelling of 14214042100 in words is "fourteen billion, two hundred fourteen million, forty-two thousand, one hundred".