4199456016 has 480 divisors, whose sum is σ = 14732390400. Its totient is φ = 1156788864.

The previous prime is 4199455993. The next prime is 4199456021. The reversal of 4199456016 is 6106549914.

It is a happy number.

4199456016 is a `hidden beast` number, since 4 + 199 + 456 + 0 + 1 + 6 = 666.

4199456016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62678415 + ... + 62678481.

It is an arithmetic number, because the mean of its divisors is an integer number (30692480).

Almost surely, 2^4199456016 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 4199456016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366195200).

4199456016 is an abundant number, since it is smaller than the sum of its proper divisors (10532934384).

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

4199456016 is an equidigital number, since it uses as much as digits as its factorization.

4199456016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4199456016 is about 64803.2099204970. The cubic root of 4199456016 is about 1613.3589859243.

The spelling of 4199456016 in words is "four billion, one hundred ninety-nine million, four hundred fifty-six thousand, sixteen".