60042442824000 has 2016 divisors, whose sum is σ = 269562873355776. Its totient is φ = 12644984217600.

The previous prime is 60042442823999. The next prime is 60042442824011. The reversal of 60042442824000 is 42824424006.

It is a happy number.

60042442824000 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 244 + 2 + 8 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37929527209 + ... + 37929528791.

It is an arithmetic number, because the mean of its divisors is an integer number (133711742736).

Almost surely, 2^{60042442824000} is an apocalyptic number.

60042442824000 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 60042442824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134781436677888).

60042442824000 is an abundant number, since it is smaller than the sum of its proper divisors (209520430531776).

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

60042442824000 is a wasteful number, since it uses less digits than its factorization.

60042442824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 60042442824000 in words is "sixty trillion, forty-two billion, four hundred forty-two million, eight hundred twenty-four thousand".