4141729198080 has 624 divisors, whose sum is σ = 14855962967040. Its totient is φ = 1066195353600.

The previous prime is 4141729198039. The next prime is 4141729198091. The reversal of 4141729198080 is 808919271414.

4141729198080 is a `hidden beast` number, since 41 + 417 + 29 + 1 + 98 + 0 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3536915895 + ... + 3536917065.

It is an arithmetic number, because the mean of its divisors is an integer number (23807632960).

Almost surely, 2^{4141729198080} is an apocalyptic number.

4141729198080 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 4141729198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427981483520).

4141729198080 is an abundant number, since it is smaller than the sum of its proper divisors (10714233768960).

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

4141729198080 is a wasteful number, since it uses less digits than its factorization.

4141729198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 4141729198080 in words is "four trillion, one hundred forty-one billion, seven hundred twenty-nine million, one hundred ninety-eight thousand, eighty".