41398659744768 has 1056 divisors, whose sum is σ = 138486062407680. Its totient is φ = 11824496640000.

The previous prime is 41398659744733. The next prime is 41398659744779. The reversal of 41398659744768 is 86744795689314.

41398659744768 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 86 + 5 + 97 + 447 + 6 + 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, 13934249523 + ... + 13934252493.

Almost surely, 2^{41398659744768} is an apocalyptic number.

41398659744768 is a gapful number since it is divisible by the number (48) 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 41398659744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69243031203840).

41398659744768 is an abundant number, since it is smaller than the sum of its proper divisors (97087402662912).

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

41398659744768 is a wasteful number, since it uses less digits than its factorization.

41398659744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3194 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 41398659744768 in words is "forty-one trillion, three hundred ninety-eight billion, six hundred fifty-nine million, seven hundred forty-four thousand, seven hundred sixty-eight".