4141384875 has 256 divisors, whose sum is σ = 8895744000. Its totient is φ = 1886976000.

The previous prime is 4141384859. The next prime is 4141384901. The reversal of 4141384875 is 5784831414.

It is not a de Polignac number, because 4141384875 - 2⁴ = 4141384859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4141384875.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 31613560 + ... + 31613690.

It is an arithmetic number, because the mean of its divisors is an integer number (34749000).

Almost surely, 2^4141384875 is an apocalyptic number.

4141384875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4141384875 is an abundant number, since it is smaller than the sum of its proper divisors (4754359125).

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

4141384875 is a wasteful number, since it uses less digits than its factorization.

4141384875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 4141384875 is about 64353.5925570593. The cubic root of 4141384875 is about 1605.8877960171.

The spelling of 4141384875 in words is "four billion, one hundred forty-one million, three hundred eighty-four thousand, eight hundred seventy-five".