41865639056640 has 504 divisors, whose sum is σ = 171832201433088. Its totient is φ = 9569287434240.

The previous prime is 41865639056623. The next prime is 41865639056641. The reversal of 41865639056640 is 4665093656814.

41865639056640 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 5 + 63 + 9 + 0 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41865639056641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3327105 + ... + 9736575.

Almost surely, 2^{41865639056640} is an apocalyptic number.

41865639056640 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 41865639056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85916100716544).

41865639056640 is an abundant number, since it is smaller than the sum of its proper divisors (129966562376448).

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

41865639056640 is an frugal number, since it uses more digits than its factorization.

41865639056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409517 (or 6409488 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 41865639056640 in words is "forty-one trillion, eight hundred sixty-five billion, six hundred thirty-nine million, fifty-six thousand, six hundred forty".