4207411656 has 144 divisors (see below), whose sum is σ = 13291050240. Its totient is φ = 1198895040.

The previous prime is 4207411639. The next prime is 4207411697. The reversal of 4207411656 is 6561147024.

4207411656 is a `hidden beast` number, since 420 + 74 + 1 + 165 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4207411656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1519185 + ... + 1521951.

It is an arithmetic number, because the mean of its divisors is an integer number (92298960).

Almost surely, 2^4207411656 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 4207411656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645525120).

4207411656 is an abundant number, since it is smaller than the sum of its proper divisors (9083638584).

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

4207411656 is a wasteful number, since it uses less digits than its factorization.

4207411656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4207411656 is about 64864.5639467344. The cubic root of 4207411656 is about 1614.3771500621.

The spelling of 4207411656 in words is "four billion, two hundred seven million, four hundred eleven thousand, six hundred fifty-six".