4215836160 has 360 divisors, whose sum is σ = 15221822616. Its totient is φ = 1119744000.

The previous prime is 4215836159. The next prime is 4215836167. The reversal of 4215836160 is 616385124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4215836167) 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 35 ways as a sum of consecutive naturals, for example, 16796035 + ... + 16796285.

Almost surely, 2^4215836160 is an apocalyptic number.

4215836160 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 4215836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610911308).

4215836160 is an abundant number, since it is smaller than the sum of its proper divisors (11005986456).

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

4215836160 is an frugal number, since it uses more digits than its factorization.

4215836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4215836160 is about 64929.4706585538. The cubic root of 4215836160 is about 1615.4539212965.

The spelling of 4215836160 in words is "four billion, two hundred fifteen million, eight hundred thirty-six thousand, one hundred sixty".