4141152174080 has 256 divisors, whose sum is σ = 10064603160000. Its totient is φ = 1635614982144.

The previous prime is 4141152174023. The next prime is 4141152174109. The reversal of 4141152174080 is 804712511414.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118852716 + ... + 5118853524.

Almost surely, 2^{4141152174080} is an apocalyptic number.

4141152174080 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 4141152174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032301580000).

4141152174080 is an abundant number, since it is smaller than the sum of its proper divisors (5923450985920).

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

4141152174080 is an equidigital number, since it uses as much as digits as its factorization.

4141152174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

Adding to 4141152174080 its reverse (804712511414), we get a palindrome (4945864685494).

The spelling of 4141152174080 in words is "four trillion, one hundred forty-one billion, one hundred fifty-two million, one hundred seventy-four thousand, eighty".