4382636160 has 512 divisors, whose sum is σ = 16832839680. Its totient is φ = 948879360.

The previous prime is 4382636147. The next prime is 4382636173. The reversal of 4382636160 is 616362834.

It is an interprime number because it is at equal distance from previous prime (4382636147) and next prime (4382636173).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27914802 + ... + 27914958.

It is an arithmetic number, because the mean of its divisors is an integer number (32876640).

Almost surely, 2^4382636160 is an apocalyptic number.

4382636160 is a gapful number since it is divisible by the number (40) 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 4382636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416419840).

4382636160 is an abundant number, since it is smaller than the sum of its proper divisors (12450203520).

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

4382636160 is a wasteful number, since it uses less digits than its factorization.

4382636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 4382636160 is about 66201.4815544184. The cubic root of 4382636160 is about 1636.4841595628.

Adding to 4382636160 its reverse (616362834), we get a palindrome (4998998994).

The spelling of 4382636160 in words is "four billion, three hundred eighty-two million, six hundred thirty-six thousand, one hundred sixty".