14135040200 has 96 divisors (see below), whose sum is σ = 33321974400. Its totient is φ = 5575695360.

The previous prime is 14135040173. The next prime is 14135040217. The reversal of 14135040200 is 204053141.

It is a super-2 number, since 2×14135040200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5416496 + ... + 5419104.

It is an arithmetic number, because the mean of its divisors is an integer number (347103900).

Almost surely, 2^14135040200 is an apocalyptic number.

14135040200 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 14135040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660987200).

14135040200 is an abundant number, since it is smaller than the sum of its proper divisors (19186934200).

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

14135040200 is a wasteful number, since it uses less digits than its factorization.

14135040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14135040200 its reverse (204053141), we get a palindrome (14339093341).

The spelling of 14135040200 in words is "fourteen billion, one hundred thirty-five million, forty thousand, two hundred".