60041346816000 has 768 divisors, whose sum is σ = 218373411110400. Its totient is φ = 14525841408000.

The previous prime is 60041346815977. The next prime is 60041346816043. The reversal of 60041346816000 is 61864314006.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 60041346816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4300025019 + ... + 4300038981.

It is an arithmetic number, because the mean of its divisors is an integer number (284340379050).

Almost surely, 2^{60041346816000} is an apocalyptic number.

60041346816000 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 60041346816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109186705555200).

60041346816000 is an abundant number, since it is smaller than the sum of its proper divisors (158332064294400).

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

60041346816000 is a wasteful number, since it uses less digits than its factorization.

60041346816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14523 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 60041346816000 in words is "sixty trillion, forty-one billion, three hundred forty-six million, eight hundred sixteen thousand".