4146220575 has 192 divisors, whose sum is σ = 8999424000. Its totient is φ = 1832595840.

The previous prime is 4146220549. The next prime is 4146220577. The reversal of 4146220575 is 5750226414.

It is a happy number.

4146220575 is a `hidden beast` number, since 4 + 1 + 4 + 62 + 20 + 575 = 666.

It is not a de Polignac number, because 4146220575 - 2⁸ = 4146220319 is a prime.

It is a super-2 number, since 2×4146220575² = 34382290113106661250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146220577) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29828856 + ... + 29828994.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^4146220575 is an apocalyptic number.

4146220575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4146220575 is an abundant number, since it is smaller than the sum of its proper divisors (4853203425).

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

4146220575 is a wasteful number, since it uses less digits than its factorization.

4146220575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4146220575 is about 64391.1529249166. The cubic root of 4146220575 is about 1606.5125927380.

Adding to 4146220575 its reverse (5750226414), we get a palindrome (9896446989).

The spelling of 4146220575 in words is "four billion, one hundred forty-six million, two hundred twenty thousand, five hundred seventy-five".