41279422800 has 720 divisors, whose sum is σ = 176688691200. Its totient is φ = 8123673600.

The previous prime is 41279422741. The next prime is 41279422829. The reversal of 41279422800 is 822497214.

It is a happy number.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 12287521 + ... + 12290879.

It is an arithmetic number, because the mean of its divisors is an integer number (245400960).

Almost surely, 2^41279422800 is an apocalyptic number.

41279422800 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 41279422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344345600).

41279422800 is an abundant number, since it is smaller than the sum of its proper divisors (135409268400).

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

41279422800 is a wasteful number, since it uses less digits than its factorization.

41279422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 41279422800 in words is "forty-one billion, two hundred seventy-nine million, four hundred twenty-two thousand, eight hundred".