41864905945760 has 192 divisors, whose sum is σ = 105032807599104. Its totient is φ = 15741145497600.

The previous prime is 41864905945727. The next prime is 41864905945763. The reversal of 41864905945760 is 6754950946814.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41864905945763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108635015 + ... + 109019705.

It is an arithmetic number, because the mean of its divisors is an integer number (547045872912).

Almost surely, 2^{41864905945760} is an apocalyptic number.

41864905945760 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 41864905945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52516403799552).

41864905945760 is an abundant number, since it is smaller than the sum of its proper divisors (63167901653344).

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

41864905945760 is a wasteful number, since it uses less digits than its factorization.

41864905945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385367 (or 385359 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 68.

The spelling of 41864905945760 in words is "forty-one trillion, eight hundred sixty-four billion, nine hundred five million, nine hundred forty-five thousand, seven hundred sixty".