42488822888424 has 192 divisors, whose sum is σ = 129252791715840. Its totient is φ = 12495858439680.

The previous prime is 42488822888417. The next prime is 42488822888563.

It is a happy number.

42488822888424 is a `hidden beast` number, since 4 + 2 + 48 + 8 + 82 + 2 + 8 + 88 + 424 = 666.

42488822888424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9807577 + ... + 13459799.

It is an arithmetic number, because the mean of its divisors is an integer number (673191623520).

Almost surely, 2^{42488822888424} is an apocalyptic number.

42488822888424 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 42488822888424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64626395857920).

42488822888424 is an abundant number, since it is smaller than the sum of its proper divisors (86763968827416).

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

42488822888424 is a wasteful number, since it uses less digits than its factorization.

42488822888424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652680 (or 3652673 counting only the distinct ones).

The product of its digits is 1073741824, while the sum is 72.

The spelling of 42488822888424 in words is "forty-two trillion, four hundred eighty-eight billion, eight hundred twenty-two million, eight hundred eighty-eight thousand, four hundred twenty-four".