41966867413440 has 392 divisors, whose sum is σ = 156346311790368. Its totient is φ = 10704590899200.

The previous prime is 41966867413433. The next prime is 41966867413441. The reversal of 41966867413440 is 4431476866914.

41966867413440 is a `hidden beast` number, since 4 + 1 + 96 + 6 + 8 + 67 + 41 + 3 + 440 = 666.

It is a super-2 number, since 2×41966867413440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41966867413441) 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, 1454590 + ... + 9276290.

Almost surely, 2^{41966867413440} is an apocalyptic number.

41966867413440 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 41966867413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78173155895184).

41966867413440 is an abundant number, since it is smaller than the sum of its proper divisors (114379444376928).

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

41966867413440 is an equidigital number, since it uses as much as digits as its factorization.

41966867413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821759 (or 7821734 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 41966867413440 in words is "forty-one trillion, nine hundred sixty-six billion, eight hundred sixty-seven million, four hundred thirteen thousand, four hundred forty".