41293738126368 has 240 divisors, whose sum is σ = 149469215353920. Its totient is φ = 10890656146944.

The previous prime is 41293738126343. The next prime is 41293738126423. The reversal of 41293738126368 is 86362183739214.

It is a happy number.

41293738126368 is a `hidden beast` number, since 4 + 1 + 293 + 7 + 3 + 81 + 263 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87298338 + ... + 87770081.

It is an arithmetic number, because the mean of its divisors is an integer number (622788397308).

Almost surely, 2^{41293738126368} is an apocalyptic number.

41293738126368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41293738126368 is an abundant number, since it is smaller than the sum of its proper divisors (108175477227552).

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

41293738126368 is a wasteful number, since it uses less digits than its factorization.

41293738126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175068461 (or 175068444 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 41293738126368 in words is "forty-one trillion, two hundred ninety-three billion, seven hundred thirty-eight million, one hundred twenty-six thousand, three hundred sixty-eight".