41626581505938 has 192 divisors, whose sum is σ = 106484682979584. Its totient is φ = 11586115584000.

The previous prime is 41626581505921. The next prime is 41626581505987. The reversal of 41626581505938 is 83950518562614.

41626581505938 is a `hidden beast` number, since 4 + 1 + 6 + 26 + 5 + 8 + 15 + 0 + 593 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461851518 + ... + 461941638.

It is an arithmetic number, because the mean of its divisors is an integer number (554607723852).

Almost surely, 2^{41626581505938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41626581505938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53242341489792).

41626581505938 is an abundant number, since it is smaller than the sum of its proper divisors (64858101473646).

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

41626581505938 is a wasteful number, since it uses less digits than its factorization.

41626581505938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91041 (or 91038 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 41626581505938 in words is "forty-one trillion, six hundred twenty-six billion, five hundred eighty-one million, five hundred five thousand, nine hundred thirty-eight".