41268123182496 has 768 divisors, whose sum is σ = 130835618758656. Its totient is φ = 11144726102016.

The previous prime is 41268123182483. The next prime is 41268123182501. The reversal of 41268123182496 is 69428132186214.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93156034051 + ... + 93156034493.

It is an arithmetic number, because the mean of its divisors is an integer number (170358878592).

Almost surely, 2^{41268123182496} 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 41268123182496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65417809379328).

41268123182496 is an abundant number, since it is smaller than the sum of its proper divisors (89567495576160).

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

41268123182496 is a wasteful number, since it uses less digits than its factorization.

41268123182496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The spelling of 41268123182496 in words is "forty-one trillion, two hundred sixty-eight billion, one hundred twenty-three million, one hundred eighty-two thousand, four hundred ninety-six".