41805612240 has 240 divisors, whose sum is σ = 152882536320. Its totient is φ = 9420794880.

The previous prime is 41805612193. The next prime is 41805612257. The reversal of 41805612240 is 4221650814.

It is a happy number.

41805612240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41805612240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809926 + ... + 859994.

It is an arithmetic number, because the mean of its divisors is an integer number (637010568).

Almost surely, 2^41805612240 is an apocalyptic number.

41805612240 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 41805612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76441268160).

41805612240 is an abundant number, since it is smaller than the sum of its proper divisors (111076924080).

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

41805612240 is a wasteful number, since it uses less digits than its factorization.

41805612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50170 (or 50157 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 41805612240 in words is "forty-one billion, eight hundred five million, six hundred twelve thousand, two hundred forty".