41613873778624 has 224 divisors, whose sum is σ = 96835325760000. Its totient is φ = 17735695165440.

The previous prime is 41613873778621. The next prime is 41613873778651. The reversal of 41613873778624 is 42687737831614.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 41613873778624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41613873778621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3226125327 + ... + 3226138225.

Almost surely, 2^{41613873778624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41613873778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48417662880000).

41613873778624 is an abundant number, since it is smaller than the sum of its proper divisors (55221451981376).

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

41613873778624 is a wasteful number, since it uses less digits than its factorization.

41613873778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13712 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 67.

The spelling of 41613873778624 in words is "forty-one trillion, six hundred thirteen billion, eight hundred seventy-three million, seven hundred seventy-eight thousand, six hundred twenty-four".