20144140200 has 72 divisors (see below), whose sum is σ = 67650743550. Its totient is φ = 5371770240.

The previous prime is 20144140189. The next prime is 20144140319. The reversal of 20144140200 is 204144102.

20144140200 is a `hidden beast` number, since 20 + 1 + 441 + 4 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17217113796 + 2927026404 = 131214^2 + 54102^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5593795 + ... + 5597394.

Almost surely, 2^20144140200 is an apocalyptic number.

20144140200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144140200 is an abundant number, since it is smaller than the sum of its proper divisors (47506603350).

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

20144140200 is a wasteful number, since it uses less digits than its factorization.

20144140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191211 (or 11191199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20144140200 its reverse (204144102), we get a palindrome (20348284302).

The spelling of 20144140200 in words is "twenty billion, one hundred forty-four million, one hundred forty thousand, two hundred".