42004230441320 has 320 divisors, whose sum is σ = 110900612581200. Its totient is φ = 14317262991360.

The previous prime is 42004230441317. The next prime is 42004230441377. The reversal of 42004230441320 is 2314403240024.

42004230441320 is digitally balanced in base 2, 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 8 ways, for example, as 9212184084964 + 32792046356356 = 3035158^2 + 5726434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24126495650 + ... + 24126497390.

Almost surely, 2^{42004230441320} is an apocalyptic number.

42004230441320 is a gapful number since it is divisible by the number (40) 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 42004230441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55450306290600).

42004230441320 is an abundant number, since it is smaller than the sum of its proper divisors (68896382139880).

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

42004230441320 is a wasteful number, since it uses less digits than its factorization.

42004230441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42004230441320 its reverse (2314403240024), we get a palindrome (44318633681344).

The spelling of 42004230441320 in words is "forty-two trillion, four billion, two hundred thirty million, four hundred forty-one thousand, three hundred twenty".