4141689984 has 96 divisors (see below), whose sum is σ = 12329214300. Its totient is φ = 1332946944.

The previous prime is 4141689949. The next prime is 4141689997. The reversal of 4141689984 is 4899861414.

It is a happy number.

4141689984 is a `hidden beast` number, since 414 + 1 + 68 + 99 + 84 = 666.

4141689984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4090881600 + 50808384 = 63960^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4141689984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28579 + ... + 95394.

Almost surely, 2^4141689984 is an apocalyptic number.

It is an amenable number.

4141689984 is an abundant number, since it is smaller than the sum of its proper divisors (8187524316).

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

4141689984 is a wasteful number, since it uses less digits than its factorization.

4141689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124022 (or 124007 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4141689984 is about 64355.9630803549. The cubic root of 4141689984 is about 1605.9272320031.

The spelling of 4141689984 in words is "four billion, one hundred forty-one million, six hundred eighty-nine thousand, nine hundred eighty-four".