14028620430400 has 63 divisors (see below), whose sum is σ = 34519542799359. Its totient is φ = 5611388244480.

The previous prime is 14028620430389. The next prime is 14028620430403. The reversal of 14028620430400 is 403402682041.

The square root of 14028620430400 is 3745480.

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

14028620430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4962451254336 + 9066169176064 = 2227656^2 + 3011008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14028620430403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149772382 + ... + 149866018.

Almost surely, 2^{14028620430400} is an apocalyptic number.

14028620430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14028620430400 is the 3745480-th square number.

It is an amenable number.

14028620430400 is an abundant number, since it is smaller than the sum of its proper divisors (20490922368959).

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

14028620430400 is an frugal number, since it uses more digits than its factorization.

14028620430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187296 (or 93644 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 14028620430400 in words is "fourteen trillion, twenty-eight billion, six hundred twenty million, four hundred thirty thousand, four hundred".