14039880100 has 135 divisors (see below), whose sum is σ = 33179461231. Its totient is φ = 5156684800.

The previous prime is 14039880089. The next prime is 14039880137. The reversal of 14039880100 is 108893041.

It is a happy number.

The square root of 14039880100 is 118490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 13854702436 + 185177664 = 117706^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 342436080 + ... + 342436120.

Almost surely, 2^14039880100 is an apocalyptic number.

14039880100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14039880100 is the 118490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14039880100

14039880100 is an abundant number, since it is smaller than the sum of its proper divisors (19139581131).

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

14039880100 is an frugal number, since it uses more digits than its factorization.

14039880100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 14039880100 in words is "fourteen billion, thirty-nine million, eight hundred eighty thousand, one hundred".