4141961680 has 20 divisors (see below), whose sum is σ = 9630061092. Its totient is φ = 1656784640.

The previous prime is 4141961653. The next prime is 4141961687. The reversal of 4141961680 is 861691414.

4141961680 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 815902096 + 3326059584 = 28564^2 + 57672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141961687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25887181 + ... + 25887340.

Almost surely, 2^4141961680 is an apocalyptic number.

4141961680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141961680 is an abundant number, since it is smaller than the sum of its proper divisors (5488099412).

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

4141961680 is a wasteful number, since it uses less digits than its factorization.

4141961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51774534 (or 51774528 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 4141961680 is about 64358.0739301605. The cubic root of 4141961680 is about 1605.9623476577.

The spelling of 4141961680 in words is "four billion, one hundred forty-one million, nine hundred sixty-one thousand, six hundred eighty".