42072072524001 has 48 divisors (see below), whose sum is σ = 66130041715920. Its totient is φ = 25619757096960.

The previous prime is 42072072523979. The next prime is 42072072524081. The reversal of 42072072524001 is 10042527027024.

42072072524001 is a `hidden beast` number, since 4 + 20 + 7 + 207 + 25 + 2 + 400 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7106490000 + 42064966034001 = 84300^2 + 6485751^2 .

It is not a de Polignac number, because 42072072524001 - 2⁵ = 42072072523969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42072072524081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76456435 + ... + 77004743.

It is an arithmetic number, because the mean of its divisors is an integer number (1377709202415).

Almost surely, 2^{42072072524001} is an apocalyptic number.

It is an amenable number.

42072072524001 is a deficient number, since it is larger than the sum of its proper divisors (24057969191919).

42072072524001 is a wasteful number, since it uses less digits than its factorization.

42072072524001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555186 (or 555183 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42072072524001 in words is "forty-two trillion, seventy-two billion, seventy-two million, five hundred twenty-four thousand, one".