41301024864 has 144 divisors (see below), whose sum is σ = 119312804016. Its totient is φ = 12500167680.

The previous prime is 41301024839. The next prime is 41301024881. The reversal of 41301024864 is 46842010314.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12694662 + ... + 12697914.

It is an arithmetic number, because the mean of its divisors is an integer number (828561139).

Almost surely, 2^41301024864 is an apocalyptic number.

41301024864 is a gapful number since it is divisible by the number (44) 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 41301024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59656402008).

41301024864 is an abundant number, since it is smaller than the sum of its proper divisors (78011779152).

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

41301024864 is a wasteful number, since it uses less digits than its factorization.

41301024864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 41301024864 in words is "forty-one billion, three hundred one million, twenty-four thousand, eight hundred sixty-four".