14210901900 has 576 divisors, whose sum is σ = 53196595200. Its totient is φ = 3225277440.

The previous prime is 14210901893. The next prime is 14210901941. The reversal of 14210901900 is 910901241.

It is a super-2 number, since 2×14210901900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23411397 + ... + 23412003.

It is an arithmetic number, because the mean of its divisors is an integer number (92355200).

Almost surely, 2^14210901900 is an apocalyptic number.

14210901900 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 14210901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598297600).

14210901900 is an abundant number, since it is smaller than the sum of its proper divisors (38985693300).

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

14210901900 is a wasteful number, since it uses less digits than its factorization.

14210901900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 14210901900 in words is "fourteen billion, two hundred ten million, nine hundred one thousand, nine hundred".