41516779200 has 336 divisors, whose sum is σ = 147268240896. Its totient is φ = 10179072000.

The previous prime is 41516779151. The next prime is 41516779223. The reversal of 41516779200 is 297761514.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 17658025 + ... + 17660375.

It is an arithmetic number, because the mean of its divisors is an integer number (438298336).

Almost surely, 2^41516779200 is an apocalyptic number.

41516779200 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 41516779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73634120448).

41516779200 is an abundant number, since it is smaller than the sum of its proper divisors (105751461696).

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

41516779200 is a wasteful number, since it uses less digits than its factorization.

41516779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 41516779200 in words is "forty-one billion, five hundred sixteen million, seven hundred seventy-nine thousand, two hundred".