42052710724992 has 768 divisors, whose sum is σ = 142868883456000. Its totient is φ = 11731068518400.

The previous prime is 42052710724903. The next prime is 42052710724993. The reversal of 42052710724992 is 29942701725024.

42052710724992 is a `hidden beast` number, since 4 + 2 + 0 + 527 + 1 + 0 + 7 + 24 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052710724993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1942467384 + ... + 1942489032.

It is an arithmetic number, because the mean of its divisors is an integer number (186027192000).

Almost surely, 2^{42052710724992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42052710724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71434441728000).

42052710724992 is an abundant number, since it is smaller than the sum of its proper divisors (100816172731008).

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

42052710724992 is a wasteful number, since it uses less digits than its factorization.

42052710724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895 (or 21880 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 42052710724992 in words is "forty-two trillion, fifty-two billion, seven hundred ten million, seven hundred twenty-four thousand, nine hundred ninety-two".