42413444431424 has 84 divisors (see below), whose sum is σ = 92513641575852. Its totient is φ = 19278296125440.

The previous prime is 42413444431411. The next prime is 42413444431531.

42413444431424 is nontrivially palindromic in base 10.

42413444431424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25715041000000 + 16698403431424 = 5071000^2 + 4086368^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431082524 + ... + 431180900.

It is an arithmetic number, because the mean of its divisors is an integer number (1101352875903).

Almost surely, 2^{42413444431424} is an apocalyptic number.

42413444431424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42413444431424 is an abundant number, since it is smaller than the sum of its proper divisors (50100197144428).

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

42413444431424 is a wasteful number, since it uses less digits than its factorization.

42413444431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154084 (or 154063 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 4241344 and 4431424, that added together give a palindrome (8672768).

The spelling of 42413444431424 in words is "forty-two trillion, four hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred twenty-four".