42451344315424 has 48 divisors (see below), whose sum is σ = 91181949354720. Its totient is φ = 19294364136960.

The previous prime is 42451344315409. The next prime is 42451344315431.

42451344315424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1315134 + ... + 9307645.

It is an arithmetic number, because the mean of its divisors is an integer number (1899623944890).

Almost surely, 2^{42451344315424} is an apocalyptic number.

42451344315424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42451344315424 is an abundant number, since it is smaller than the sum of its proper divisors (48730605039296).

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

42451344315424 is a wasteful number, since it uses less digits than its factorization.

42451344315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634153 (or 10634145 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 42451344315424 in words is "forty-two trillion, four hundred fifty-one billion, three hundred forty-four million, three hundred fifteen thousand, four hundred twenty-four".