4114332440200 has 48 divisors (see below), whose sum is σ = 9565965166500. Its totient is φ = 1645708504320.

The previous prime is 4114332440177. The next prime is 4114332440221. The reversal of 4114332440200 is 20442334114.

It can be written as a sum of positive squares in 6 ways, for example, as 851157546724 + 3263174893476 = 922582^2 + 1806426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19862766 + ... + 20068834.

Almost surely, 2^{4114332440200} is an apocalyptic number.

4114332440200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114332440200 is an abundant number, since it is smaller than the sum of its proper divisors (5451632726300).

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

4114332440200 is a wasteful number, since it uses less digits than its factorization.

4114332440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305914 (or 305905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4114332440200 its reverse (20442334114), we get a palindrome (4134774774314).

The spelling of 4114332440200 in words is "four trillion, one hundred fourteen billion, three hundred thirty-two million, four hundred forty thousand, two hundred".