41864317440 has 320 divisors, whose sum is σ = 146610794880. Its totient is φ = 10106634240.

The previous prime is 41864317427. The next prime is 41864317441. The reversal of 41864317440 is 4471346814.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 41864317392 and 41864317401.

It is not an unprimeable number, because it can be changed into a prime (41864317441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23400066 + ... + 23401854.

It is an arithmetic number, because the mean of its divisors is an integer number (458158734).

Almost surely, 2^41864317440 is an apocalyptic number.

41864317440 is a gapful number since it is divisible by the number (40) 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 41864317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73305397440).

41864317440 is an abundant number, since it is smaller than the sum of its proper divisors (104746477440).

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

41864317440 is a wasteful number, since it uses less digits than its factorization.

41864317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 41864317440 in words is "forty-one billion, eight hundred sixty-four million, three hundred seventeen thousand, four hundred forty".