4142000444200 has 48 divisors (see below), whose sum is σ = 9680570760960. Its totient is φ = 1648125816000.

The previous prime is 4142000444189. The next prime is 4142000444209. The reversal of 4142000444200 is 24440002414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4142000444209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54176466 + ... + 54252865.

It is an arithmetic number, because the mean of its divisors is an integer number (201678557520).

Almost surely, 2^{4142000444200} is an apocalyptic number.

4142000444200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142000444200 is an abundant number, since it is smaller than the sum of its proper divisors (5538570316760).

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

4142000444200 is a wasteful number, since it uses less digits than its factorization.

4142000444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108429538 (or 108429529 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4142000444200 its reverse (24440002414), we get a palindrome (4166440446614).

The spelling of 4142000444200 in words is "four trillion, one hundred forty-two billion, four hundred forty-four thousand, two hundred".