14042404100 has 144 divisors (see below), whose sum is σ = 32796859200. Its totient is φ = 5203077120.

The previous prime is 14042404093. The next prime is 14042404133. The reversal of 14042404100 is 140424041.

It is a happy number.

It is a super-2 number, since 2×14042404100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19001531 + ... + 19002269.

Almost surely, 2^14042404100 is an apocalyptic number.

14042404100 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 14042404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398429600).

14042404100 is an abundant number, since it is smaller than the sum of its proper divisors (18754455100).

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

14042404100 is a wasteful number, since it uses less digits than its factorization.

14042404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

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

Adding to 14042404100 its reverse (140424041), we get a palindrome (14182828141).

14042404100 divided by its reverse (140424041) gives a square (100 = 10²).

The spelling of 14042404100 in words is "fourteen billion, forty-two million, four hundred four thousand, one hundred".