4130221536 has 384 divisors, whose sum is σ = 14732928000. Its totient is φ = 1102657536.

The previous prime is 4130221531. The next prime is 4130221547. The reversal of 4130221536 is 6351220314.

4130221536 is a `hidden beast` number, since 413 + 0 + 2 + 215 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130221531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29713755 + ... + 29713893.

It is an arithmetic number, because the mean of its divisors is an integer number (38367000).

Almost surely, 2^4130221536 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 4130221536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366464000).

4130221536 is an abundant number, since it is smaller than the sum of its proper divisors (10602706464).

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

4130221536 is a wasteful number, since it uses less digits than its factorization.

4130221536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4130221536 is about 64266.7996402497. The cubic root of 4130221536 is about 1604.4435768825.

The spelling of 4130221536 in words is "four billion, one hundred thirty million, two hundred twenty-one thousand, five hundred thirty-six".