42762641024072 has 36 divisors (see below), whose sum is σ = 80285552515395. Its totient is φ = 21353197380528.

The previous prime is 42762641024057. The next prime is 42762641024099. The reversal of 42762641024072 is 27042014626724.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21381320512036 + 21381320512036 = 4623994^2 + 4623994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4623994.

It is a super-2 number, since 2×42762641024072² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27429531629 + ... + 27429533187.

Almost surely, 2^{42762641024072} is an apocalyptic number.

It is an amenable number.

42762641024072 is a deficient number, since it is larger than the sum of its proper divisors (37522911491323).

42762641024072 is an frugal number, since it uses more digits than its factorization.

42762641024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 47.

The spelling of 42762641024072 in words is "forty-two trillion, seven hundred sixty-two billion, six hundred forty-one million, twenty-four thousand, seventy-two".