4157601536 has 144 divisors (see below), whose sum is σ = 9357677280. Its totient is φ = 1827471360.

The previous prime is 4157601521. The next prime is 4157601551. The reversal of 4157601536 is 6351067514.

It is an interprime number because it is at equal distance from previous prime (4157601521) and next prime (4157601551).

It is a self number, because there is not a number n which added to its sum of digits gives 4157601536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13282916 + ... + 13283228.

It is an arithmetic number, because the mean of its divisors is an integer number (64983870).

Almost surely, 2^4157601536 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 4157601536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678838640).

4157601536 is an abundant number, since it is smaller than the sum of its proper divisors (5200075744).

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

4157601536 is a wasteful number, since it uses less digits than its factorization.

4157601536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 4157601536 is about 64479.4660027516. The cubic root of 4157601536 is about 1607.9811553611.

The spelling of 4157601536 in words is "four billion, one hundred fifty-seven million, six hundred one thousand, five hundred thirty-six".