41516126208 has 312 divisors, whose sum is σ = 126869809248. Its totient is φ = 13560348672.

The previous prime is 41516126123. The next prime is 41516126219. The reversal of 41516126208 is 80262161514.

It is a happy number.

41516126208 is a `hidden beast` number, since 4 + 1 + 5 + 16 + 12 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 52751991 + ... + 52752777.

It is an arithmetic number, because the mean of its divisors is an integer number (406634004).

Almost surely, 2^41516126208 is an apocalyptic number.

41516126208 is a gapful number since it is divisible by the number (48) 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 41516126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63434904624).

41516126208 is an abundant number, since it is smaller than the sum of its proper divisors (85353683040).

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

41516126208 is an frugal number, since it uses more digits than its factorization.

41516126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41516126208 in words is "forty-one billion, five hundred sixteen million, one hundred twenty-six thousand, two hundred eight".