4199297256 has 360 divisors, whose sum is σ = 15052909410. Its totient is φ = 1089728640.

The previous prime is 4199297239. The next prime is 4199297257. The reversal of 4199297256 is 6527929914.

4199297256 is a `hidden beast` number, since 419 + 92 + 97 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2353220100 + 1846077156 = 48510^2 + 42966^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4199297257) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3841446 + ... + 3842538.

Almost surely, 2^4199297256 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 4199297256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526454705).

4199297256 is an abundant number, since it is smaller than the sum of its proper divisors (10853612154).

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

4199297256 is a wasteful number, since it uses less digits than its factorization.

4199297256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1116 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 4199297256 is about 64801.9849695980. The cubic root of 4199297256 is about 1613.3386547116.

The spelling of 4199297256 in words is "four billion, one hundred ninety-nine million, two hundred ninety-seven thousand, two hundred fifty-six".