41888191324160 has 448 divisors, whose sum is σ = 108271488084480. Its totient is φ = 15506425774080.

The previous prime is 41888191324159. The next prime is 41888191324219. The reversal of 41888191324160 is 6142319188814.

It is a junction number, because it is equal to n+sod(n) for n = 41888191324096 and 41888191324105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34419219872 + ... + 34419221088.

It is an arithmetic number, because the mean of its divisors is an integer number (241677428760).

Almost surely, 2^{41888191324160} is an apocalyptic number.

41888191324160 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 41888191324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54135744042240).

41888191324160 is an abundant number, since it is smaller than the sum of its proper divisors (66383296760320).

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

41888191324160 is a wasteful number, since it uses less digits than its factorization.

41888191324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 56.

The spelling of 41888191324160 in words is "forty-one trillion, eight hundred eighty-eight billion, one hundred ninety-one million, three hundred twenty-four thousand, one hundred sixty".