4197250656 has 96 divisors (see below), whose sum is σ = 12253096800. Its totient is φ = 1397813760.

The previous prime is 4197250633. The next prime is 4197250661. The reversal of 4197250656 is 6560527914.

4197250656 is a `hidden beast` number, since 4 + 1 + 97 + 2 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848690 + ... + 1850958.

It is an arithmetic number, because the mean of its divisors is an integer number (127636425).

Almost surely, 2^4197250656 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 4197250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126548400).

4197250656 is an abundant number, since it is smaller than the sum of its proper divisors (8055846144).

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

4197250656 is a wasteful number, since it uses less digits than its factorization.

4197250656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4197250656 is about 64786.1918621553. The cubic root of 4197250656 is about 1613.0765159742.

The spelling of 4197250656 in words is "four billion, one hundred ninety-seven million, two hundred fifty thousand, six hundred fifty-six".