42435166153424 has 80 divisors (see below), whose sum is σ = 90049539317760. Its totient is φ = 19211957546880.

The previous prime is 42435166153397. The next prime is 42435166153427.

42435166153424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435166153427) by changing a digit.

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, 270197129 + ... + 270354135.

It is an arithmetic number, because the mean of its divisors is an integer number (1125619241472).

Almost surely, 2^{42435166153424} is an apocalyptic number.

42435166153424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435166153424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45024769658880).

42435166153424 is an abundant number, since it is smaller than the sum of its proper divisors (47614373164336).

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

42435166153424 is a wasteful number, since it uses less digits than its factorization.

42435166153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163128 (or 163122 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 42435166153424 in words is "forty-two trillion, four hundred thirty-five billion, one hundred sixty-six million, one hundred fifty-three thousand, four hundred twenty-four".