14141482200 has 576 divisors, whose sum is σ = 51866680320. Its totient is φ = 3576960000.

The previous prime is 14141482151. The next prime is 14141482211. The reversal of 14141482200 is 228414141.

14141482200 is a `hidden beast` number, since 1 + 41 + 414 + 8 + 2 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93652125 + ... + 93652275.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 2^14141482200 is an apocalyptic number.

14141482200 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 14141482200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933340160).

14141482200 is an abundant number, since it is smaller than the sum of its proper divisors (37725198120).

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

14141482200 is a wasteful number, since it uses less digits than its factorization.

14141482200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14141482200 its reverse (228414141), we get a palindrome (14369896341).

The spelling of 14141482200 in words is "fourteen billion, one hundred forty-one million, four hundred eighty-two thousand, two hundred".