41944815360 has 1728 divisors, whose sum is σ = 193272791040. Its totient is φ = 8546549760.

The previous prime is 41944815349. The next prime is 41944815361. The reversal of 41944815360 is 6351844914.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41944815361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 892442857 + ... + 892442903.

It is an arithmetic number, because the mean of its divisors is an integer number (111847680).

Almost surely, 2^41944815360 is an apocalyptic number.

41944815360 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 41944815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

41944815360 is an abundant number, since it is smaller than the sum of its proper divisors (151327975680).

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

41944815360 is a wasteful number, since it uses less digits than its factorization.

41944815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41944815360 in words is "forty-one billion, nine hundred forty-four million, eight hundred fifteen thousand, three hundred sixty".