42562087450272 has 288 divisors, whose sum is σ = 134605412637696. Its totient is φ = 12668460134400.

The previous prime is 42562087450229. The next prime is 42562087450279. The reversal of 42562087450272 is 27205478026524.

42562087450272 is a `hidden beast` number, since 4 + 2 + 5 + 62 + 0 + 8 + 7 + 4 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (42562087450279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292524613 + ... + 292670075.

It is an arithmetic number, because the mean of its divisors is an integer number (467379904992).

Almost surely, 2^{42562087450272} 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 42562087450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67302706318848).

42562087450272 is an abundant number, since it is smaller than the sum of its proper divisors (92043325187424).

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

42562087450272 is a wasteful number, since it uses less digits than its factorization.

42562087450272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148044 (or 148033 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 42562087450272 in words is "forty-two trillion, five hundred sixty-two billion, eighty-seven million, four hundred fifty thousand, two hundred seventy-two".