4199402214216 has 192 divisors, whose sum is σ = 12837746376000. Its totient is φ = 1228417989120.

The previous prime is 4199402214109. The next prime is 4199402214221. The reversal of 4199402214216 is 6124122049914.

4199402214216 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 402 + 21 + 4 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136024030 + ... + 136054898.

It is an arithmetic number, because the mean of its divisors is an integer number (66863262375).

Almost surely, 2^{4199402214216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199402214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418873188000).

4199402214216 is an abundant number, since it is smaller than the sum of its proper divisors (8638344161784).

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

4199402214216 is a wasteful number, since it uses less digits than its factorization.

4199402214216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36844 (or 36837 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4199402214216 in words is "four trillion, one hundred ninety-nine billion, four hundred two million, two hundred fourteen thousand, two hundred sixteen".