60441413760 has 2304 divisors, whose sum is σ = 299862864000. Its totient is φ = 11370627072.

The previous prime is 60441413759. The next prime is 60441413783. The reversal of 60441413760 is 6731414406.

60441413760 is a `hidden beast` number, since 604 + 4 + 1 + 41 + 3 + 7 + 6 + 0 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 3181127031 + ... + 3181127049.

Almost surely, 2^60441413760 is an apocalyptic number.

60441413760 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 60441413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149931432000).

60441413760 is an abundant number, since it is smaller than the sum of its proper divisors (239421450240).

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

60441413760 is a wasteful number, since it uses less digits than its factorization.

60441413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 60441413760 in words is "sixty billion, four hundred forty-one million, four hundred thirteen thousand, seven hundred sixty".