42167508385 has 8 divisors (see below), whose sum is σ = 50624701416. Its totient is φ = 33718212480.

The previous prime is 42167508343. The next prime is 42167508389. The reversal of 42167508385 is 58380576124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4200206481 + 37967301904 = 64809^2 + 194852^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42167508385 - 2¹⁵ = 42167475617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42167508389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962526 + ... + 1983895.

It is an arithmetic number, because the mean of its divisors is an integer number (6328087677).

Almost surely, 2^42167508385 is an apocalyptic number.

It is an amenable number.

42167508385 is a deficient number, since it is larger than the sum of its proper divisors (8457193031).

42167508385 is a wasteful number, since it uses less digits than its factorization.

42167508385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948563.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 42167508385 in words is "forty-two billion, one hundred sixty-seven million, five hundred eight thousand, three hundred eighty-five".