41645817164800 has 132 divisors (see below), whose sum is σ = 103384628449996. Its totient is φ = 16633567641600.

The previous prime is 41645817164779. The next prime is 41645817164843. The reversal of 41645817164800 is 846171854614.

It can be written as a sum of positive squares in 6 ways, for example, as 1751535783936 + 39894281380864 = 1323456^2 + 6316192^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16020190 + ... + 18437410.

Almost surely, 2^{41645817164800} is an apocalyptic number.

41645817164800 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 41645817164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51692314224998).

41645817164800 is an abundant number, since it is smaller than the sum of its proper divisors (61738811285196).

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

41645817164800 is a wasteful number, since it uses less digits than its factorization.

41645817164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417924 (or 2417901 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 41645817164800 in words is "forty-one trillion, six hundred forty-five billion, eight hundred seventeen million, one hundred sixty-four thousand, eight hundred".