41138036559360 has 480 divisors, whose sum is σ = 159114719443680. Its totient is φ = 10126283931648.

The previous prime is 41138036559343. The next prime is 41138036559413. The reversal of 41138036559360 is 6395563083114.

41138036559360 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 80 + 3 + 6 + 559 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 41138036559297 and 41138036559306.

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 47 ways as a sum of consecutive naturals, for example, 5543586 + ... + 10630494.

It is an arithmetic number, because the mean of its divisors is an integer number (331488998841).

Almost surely, 2^{41138036559360} is an apocalyptic number.

41138036559360 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 41138036559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79557359721840).

41138036559360 is an abundant number, since it is smaller than the sum of its proper divisors (117976682884320).

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

41138036559360 is an equidigital number, since it uses as much as digits as its factorization.

41138036559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086960 (or 5086932 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 41138036559360 in words is "forty-one trillion, one hundred thirty-eight billion, thirty-six million, five hundred fifty-nine thousand, three hundred sixty".