41446484040960 has 1296 divisors, whose sum is σ = 154502460770112. Its totient is φ = 10637627719680.

The previous prime is 41446484040959. The next prime is 41446484041007. The reversal of 41446484040960 is 6904048464414.

41446484040960 is a `hidden beast` number, since 4 + 1 + 4 + 464 + 84 + 0 + 40 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×41446484040960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41446484040897 and 41446484040906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93558654499 + ... + 93558654941.

Almost surely, 2^{41446484040960} is an apocalyptic number.

41446484040960 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 41446484040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77251230385056).

41446484040960 is an abundant number, since it is smaller than the sum of its proper divisors (113055976729152).

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

41446484040960 is an equidigital number, since it uses as much as digits as its factorization.

41446484040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 41446484040960 in words is "forty-one trillion, four hundred forty-six billion, four hundred eighty-four million, forty thousand, nine hundred sixty".