4157643616 has 96 divisors (see below), whose sum is σ = 9751891968. Its totient is φ = 1707333120.

The previous prime is 4157643613. The next prime is 4157643629. The reversal of 4157643616 is 6163467514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157643613) by changing a digit.

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, 712326 + ... + 718138.

It is an arithmetic number, because the mean of its divisors is an integer number (101582208).

Almost surely, 2^4157643616 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 4157643616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875945984).

4157643616 is an abundant number, since it is smaller than the sum of its proper divisors (5594248352).

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

4157643616 is a wasteful number, since it uses less digits than its factorization.

4157643616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5956 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 4157643616 is about 64479.7923073578. The cubic root of 4157643616 is about 1607.9865802532.

The spelling of 4157643616 in words is "four billion, one hundred fifty-seven million, six hundred forty-three thousand, six hundred sixteen".