14215201000 has 384 divisors, whose sum is σ = 45034778880. Its totient is φ = 4086720000.

The previous prime is 14215200973. The next prime is 14215201043. The reversal of 14215201000 is 10251241.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11010355 + ... + 11011645.

It is an arithmetic number, because the mean of its divisors is an integer number (117278070).

Almost surely, 2^14215201000 is an apocalyptic number.

14215201000 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 14215201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517389440).

14215201000 is an abundant number, since it is smaller than the sum of its proper divisors (30819577880).

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

14215201000 is a wasteful number, since it uses less digits than its factorization.

14215201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 14215201000 its reverse (10251241), we get a palindrome (14225452241).

The spelling of 14215201000 in words is "fourteen billion, two hundred fifteen million, two hundred one thousand".