42404522540424 has 128 divisors (see below), whose sum is σ = 117284046888960. Its totient is φ = 12668169920000.

The previous prime is 42404522540381. The next prime is 42404522540459.

42404522540424 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 410085769 + ... + 410189159.

It is an arithmetic number, because the mean of its divisors is an integer number (916281616320).

Almost surely, 2^{42404522540424} is an apocalyptic number.

42404522540424 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 42404522540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58642023444480).

42404522540424 is an abundant number, since it is smaller than the sum of its proper divisors (74879524348536).

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

42404522540424 is a wasteful number, since it uses less digits than its factorization.

42404522540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125363 (or 125359 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 4240452 and 2540424, that added together give a palindrome (6780876).

The spelling of 42404522540424 in words is "forty-two trillion, four hundred four billion, five hundred twenty-two million, five hundred forty thousand, four hundred twenty-four".