4135875984 has 160 divisors (see below), whose sum is σ = 12491700480. Its totient is φ = 1308441600.

The previous prime is 4135875983. The next prime is 4135876027. The reversal of 4135875984 is 4895785314.

4135875984 is a `hidden beast` number, since 4 + 1 + 3 + 587 + 59 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4135875984.

It is not an unprimeable number, because it can be changed into a prime (4135875983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652189 + ... + 658499.

It is an arithmetic number, because the mean of its divisors is an integer number (78073128).

Almost surely, 2^4135875984 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 4135875984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245850240).

4135875984 is an abundant number, since it is smaller than the sum of its proper divisors (8355824496).

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

4135875984 is a wasteful number, since it uses less digits than its factorization.

4135875984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6394 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 4135875984 is about 64310.7765774913. The cubic root of 4135875984 is about 1605.1754267156.

The spelling of 4135875984 in words is "four billion, one hundred thirty-five million, eight hundred seventy-five thousand, nine hundred eighty-four".