41590611360 has 288 divisors, whose sum is σ = 146879853120. Its totient is φ = 10709766144.

The previous prime is 41590611341. The next prime is 41590611371. The reversal of 41590611360 is 6311609514.

41590611360 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 0 + 611 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41590611360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5507107 + ... + 5514653.

It is an arithmetic number, because the mean of its divisors is an integer number (509999490).

Almost surely, 2^41590611360 is an apocalyptic number.

41590611360 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 41590611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73439926560).

41590611360 is an abundant number, since it is smaller than the sum of its proper divisors (105289241760).

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

41590611360 is a wasteful number, since it uses less digits than its factorization.

41590611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 41590611360 in words is "forty-one billion, five hundred ninety million, six hundred eleven thousand, three hundred sixty".