41076034345200 has 240 divisors, whose sum is σ = 133103824247520. Its totient is φ = 10827059036160.

The previous prime is 41076034345193. The next prime is 41076034345201. The reversal of 41076034345200 is 254343067014.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41076034345201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92549416 + ... + 92992184.

It is an arithmetic number, because the mean of its divisors is an integer number (554599267698).

Almost surely, 2^{41076034345200} is an apocalyptic number.

41076034345200 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 41076034345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66551912123760).

41076034345200 is an abundant number, since it is smaller than the sum of its proper divisors (92027789902320).

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

41076034345200 is a wasteful number, since it uses less digits than its factorization.

41076034345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443684 (or 443673 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 41076034345200 in words is "forty-one trillion, seventy-six billion, thirty-four million, three hundred forty-five thousand, two hundred".