41791376800 has 72 divisors (see below), whose sum is σ = 102170109132. Its totient is φ = 16692480000.

The previous prime is 41791376797. The next prime is 41791376801. The reversal of 41791376800 is 867319714.

It can be written as a sum of positive squares in 6 ways, for example, as 27313511824 + 14477864976 = 165268^2 + 120324^2 .

It is not an unprimeable number, because it can be changed into a prime (41791376801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523540 + ... + 598060.

Almost surely, 2^41791376800 is an apocalyptic number.

41791376800 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 41791376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51085054566).

41791376800 is an abundant number, since it is smaller than the sum of its proper divisors (60378732332).

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

41791376800 is a wasteful number, since it uses less digits than its factorization.

41791376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75242 (or 75229 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 41791376800 in words is "forty-one billion, seven hundred ninety-one million, three hundred seventy-six thousand, eight hundred".