4102157568 has 72 divisors (see below), whose sum is σ = 10936626400. Its totient is φ = 1365018624.

The previous prime is 4102157567. The next prime is 4102157569. The reversal of 4102157568 is 8657512014.

It is an interprime number because it is at equal distance from previous prime (4102157567) and next prime (4102157569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102157567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 471078 + ... + 479706.

Almost surely, 2^4102157568 is an apocalyptic number.

4102157568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468313200).

4102157568 is an abundant number, since it is smaller than the sum of its proper divisors (6834468832).

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

4102157568 is an equidigital number, since it uses as much as digits as its factorization.

4102157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 4102157568 is about 64048.0879339891. The cubic root of 4102157568 is about 1600.8013652333.

It can be divided in two parts, 41021 and 57568, that added together give a palindrome (98589).

The spelling of 4102157568 in words is "four billion, one hundred two million, one hundred fifty-seven thousand, five hundred sixty-eight".