4199408256 has 64 divisors (see below), whose sum is σ = 11212672320. Its totient is φ = 1392525312.

The previous prime is 4199408237. The next prime is 4199408263. The reversal of 4199408256 is 6528049914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45781 + ... + 102443.

It is an arithmetic number, because the mean of its divisors is an integer number (175198005).

Almost surely, 2^4199408256 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 4199408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606336160).

4199408256 is an abundant number, since it is smaller than the sum of its proper divisors (7013264064).

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

4199408256 is a wasteful number, since it uses less digits than its factorization.

4199408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56873 (or 56861 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 4199408256 is about 64802.8414191847. The cubic root of 4199408256 is about 1613.3528697101.

The spelling of 4199408256 in words is "four billion, one hundred ninety-nine million, four hundred eight thousand, two hundred fifty-six".