41082370560 has 1600 divisors, whose sum is σ = 191651733504. Its totient is φ = 8161689600.

The previous prime is 41082370547. The next prime is 41082370607. The reversal of 41082370560 is 6507328014.

41082370560 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 23 + 70 + 560 = 666.

It is a super-2 number, since 2×41082370560² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968279 + ... + 494968361.

Almost surely, 2^41082370560 is an apocalyptic number.

41082370560 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 41082370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95825866752).

41082370560 is an abundant number, since it is smaller than the sum of its proper divisors (150569362944).

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

41082370560 is a wasteful number, since it uses less digits than its factorization.

41082370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 41082370560 its reverse (6507328014), we get a palindrome (47589698574).

The spelling of 41082370560 in words is "forty-one billion, eighty-two million, three hundred seventy thousand, five hundred sixty".