41321759326848 has 2048 divisors, whose sum is σ = 171003571200000. Its totient is φ = 9675205263360.

The previous prime is 41321759326789. The next prime is 41321759326867. The reversal of 41321759326848 is 84862395712314.

It is a happy number.

41321759326848 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 17 + 593 + 26 + 8 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7289070958 + ... + 7289076626.

It is an arithmetic number, because the mean of its divisors is an integer number (83497837500).

Almost surely, 2^{41321759326848} is an apocalyptic number.

41321759326848 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 41321759326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501785600000).

41321759326848 is an abundant number, since it is smaller than the sum of its proper divisors (129681811873152).

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

41321759326848 is a wasteful number, since it uses less digits than its factorization.

41321759326848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5748 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 41321759326848 in words is "forty-one trillion, three hundred twenty-one billion, seven hundred fifty-nine million, three hundred twenty-six thousand, eight hundred forty-eight".