4141980720 has 240 divisors, whose sum is σ = 14342956992. Its totient is φ = 1070530560.

The previous prime is 4141980683. The next prime is 4141980727. The reversal of 4141980720 is 270891414.

4141980720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4141980727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5696997 + ... + 5697723.

Almost surely, 2^4141980720 is an apocalyptic number.

4141980720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171478496).

4141980720 is an abundant number, since it is smaller than the sum of its proper divisors (10200976272).

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

4141980720 is a wasteful number, since it uses less digits than its factorization.

4141980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4141980720 is about 64358.2218523787. The cubic root of 4141980720 is about 1605.9648084463.

The spelling of 4141980720 in words is "four billion, one hundred forty-one million, nine hundred eighty thousand, seven hundred twenty".