4142004216 has 64 divisors (see below), whose sum is σ = 11841300480. Its totient is φ = 1182729600.

The previous prime is 4142004211. The next prime is 4142004221. The reversal of 4142004216 is 6124002414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4142004211) and next prime (4142004221).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142004211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321450 + ... + 334086.

It is an arithmetic number, because the mean of its divisors is an integer number (185020320).

Almost surely, 2^4142004216 is an apocalyptic number.

It is an amenable number.

4142004216 is an abundant number, since it is smaller than the sum of its proper divisors (7699296264).

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

4142004216 is a wasteful number, since it uses less digits than its factorization.

4142004216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14604 (or 14600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4142004216 is about 64358.4043928996. The cubic root of 4142004216 is about 1605.9678451317.

The spelling of 4142004216 in words is "four billion, one hundred forty-two million, four thousand, two hundred sixteen".