4130169984 has 192 divisors, whose sum is σ = 12537383040. Its totient is φ = 1302478848.

The previous prime is 4130169943. The next prime is 4130170003. The reversal of 4130169984 is 4899610314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569309 + ... + 2570915.

It is an arithmetic number, because the mean of its divisors is an integer number (65298870).

Almost surely, 2^4130169984 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 4130169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268691520).

4130169984 is an abundant number, since it is smaller than the sum of its proper divisors (8407213056).

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

4130169984 is a wasteful number, since it uses less digits than its factorization.

4130169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4130169984 is about 64266.3985609899. The cubic root of 4130169984 is about 1604.4369014843.

The spelling of 4130169984 in words is "four billion, one hundred thirty million, one hundred sixty-nine thousand, nine hundred eighty-four".