42464133146424 has 288 divisors, whose sum is σ = 118594011070080. Its totient is φ = 12661099651200.

The previous prime is 42464133146419. The next prime is 42464133146441.

42464133146424 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8007565357 + ... + 8007570659.

It is an arithmetic number, because the mean of its divisors is an integer number (411784760660).

Almost surely, 2^{42464133146424} is an apocalyptic number.

42464133146424 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 42464133146424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59297005535040).

42464133146424 is an abundant number, since it is smaller than the sum of its proper divisors (76129877923656).

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

42464133146424 is a wasteful number, since it uses less digits than its factorization.

42464133146424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 5937 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 42464133146424 in words is "forty-two trillion, four hundred sixty-four billion, one hundred thirty-three million, one hundred forty-six thousand, four hundred twenty-four".