4432157136 has 160 divisors (see below), whose sum is σ = 13957856640. Its totient is φ = 1335398400.

The previous prime is 4432157131. The next prime is 4432157137. The reversal of 4432157136 is 6317512344.

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 4432157136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432157131) 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 31 ways as a sum of consecutive naturals, for example, 857536 + ... + 862688.

It is an arithmetic number, because the mean of its divisors is an integer number (87236604).

Almost surely, 2^4432157136 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 4432157136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978928320).

4432157136 is an abundant number, since it is smaller than the sum of its proper divisors (9525699504).

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

4432157136 is a wasteful number, since it uses less digits than its factorization.

4432157136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5350 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4432157136 is about 66574.4480713134. The cubic root of 4432157136 is about 1642.6248290275.

The spelling of 4432157136 in words is "four billion, four hundred thirty-two million, one hundred fifty-seven thousand, one hundred thirty-six".