42624870446090 has 32 divisors (see below), whose sum is σ = 80720321595984. Its totient is φ = 16184525621760.

The previous prime is 42624870446047. The next prime is 42624870446129. The reversal of 42624870446090 is 9064407842624.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8408138303041 + 34216732143049 = 2899679^2 + 5849507^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404891569 + ... + 1404921908.

Almost surely, 2^{42624870446090} is an apocalyptic number.

42624870446090 is a deficient number, since it is larger than the sum of its proper divisors (38095451149894).

42624870446090 is a wasteful number, since it uses less digits than its factorization.

42624870446090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809813562.

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 42624870446090 in words is "forty-two trillion, six hundred twenty-four billion, eight hundred seventy million, four hundred forty-six thousand, ninety".