14200414420 has 48 divisors (see below), whose sum is σ = 30135142800. Its totient is φ = 5620573184.

The previous prime is 14200414409. The next prime is 14200414421. The reversal of 14200414420 is 2441400241.

It can be written as a sum of positive squares in 8 ways, for example, as 3108954564 + 11091459856 = 55758^2 + 105316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14200414391 and 14200414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200414421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860406 + ... + 876754.

It is an arithmetic number, because the mean of its divisors is an integer number (627815475).

Almost surely, 2^14200414420 is an apocalyptic number.

14200414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200414420 is an abundant number, since it is smaller than the sum of its proper divisors (15934728380).

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

14200414420 is a wasteful number, since it uses less digits than its factorization.

14200414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16812 (or 16810 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14200414420 its reverse (2441400241), we get a palindrome (16641814661).

The spelling of 14200414420 in words is "fourteen billion, two hundred million, four hundred fourteen thousand, four hundred twenty".