41307615360 has 640 divisors, whose sum is σ = 162671509440. Its totient is φ = 9905725440.

The previous prime is 41307615347. The next prime is 41307615367. The reversal of 41307615360 is 6351670314.

41307615360 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 615 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (41307615367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61015342 + ... + 61016018.

Almost surely, 2^41307615360 is an apocalyptic number.

41307615360 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 41307615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81335754720).

41307615360 is an abundant number, since it is smaller than the sum of its proper divisors (121363894080).

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

41307615360 is a wasteful number, since it uses less digits than its factorization.

41307615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 41307615360 in words is "forty-one billion, three hundred seven million, six hundred fifteen thousand, three hundred sixty".