42436167293058 has 128 divisors (see below), whose sum is σ = 105993204480000. Its totient is φ = 11003816355840.

The previous prime is 42436167293027. The next prime is 42436167293111. The reversal of 42436167293058 is 85039276163424.

It is a super-3 number, since 3×42436167293058³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42436167292992 and 42436167293010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 834527218 + ... + 834578066.

It is an arithmetic number, because the mean of its divisors is an integer number (828071910000).

It is a 1-persistent number, because it is pandigital, but 2⋅42436167293058 = 84872334586116 is not.

Almost surely, 2^{42436167293058} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42436167293058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996602240000).

42436167293058 is an abundant number, since it is smaller than the sum of its proper divisors (63557037186942).

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

42436167293058 is a wasteful number, since it uses less digits than its factorization.

42436167293058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53880.

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 42436167293058 in words is "forty-two trillion, four hundred thirty-six billion, one hundred sixty-seven million, two hundred ninety-three thousand, fifty-eight".