60041975040 has 216 divisors, whose sum is σ = 208639889640. Its totient is φ = 15941763072.

The previous prime is 60041975033. The next prime is 60041975051. The reversal of 60041975040 is 4057914006.

60041975040 is a `hidden beast` number, since 60 + 0 + 4 + 1 + 97 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1214383104 + 58827591936 = 34848^2 + 242544^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 60041974986 and 60041975004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672976 + ... + 2695344.

It is an arithmetic number, because the mean of its divisors is an integer number (965925415).

Almost surely, 2^60041975040 is an apocalyptic number.

60041975040 is a gapful number since it is divisible by the number (60) 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 60041975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104319944820).

60041975040 is an abundant number, since it is smaller than the sum of its proper divisors (148597914600).

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

60041975040 is a wasteful number, since it uses less digits than its factorization.

60041975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22629 (or 22612 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 60041975040 in words is "sixty billion, forty-one million, nine hundred seventy-five thousand, forty".