14210842680 has 192 divisors, whose sum is σ = 47821363200. Its totient is φ = 3656067840.

The previous prime is 14210842669. The next prime is 14210842687. The reversal of 14210842680 is 8624801241.

14210842680 is a `hidden beast` number, since 14 + 210 + 8 + 426 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210842687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004667 + ... + 4008213.

It is an arithmetic number, because the mean of its divisors is an integer number (249069600).

Almost surely, 2^14210842680 is an apocalyptic number.

14210842680 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 14210842680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23910681600).

14210842680 is an abundant number, since it is smaller than the sum of its proper divisors (33610520520).

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

14210842680 is a wasteful number, since it uses less digits than its factorization.

14210842680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14210842680 in words is "fourteen billion, two hundred ten million, eight hundred forty-two thousand, six hundred eighty".