42465455456424 has 256 divisors, whose sum is σ = 143952698050560. Its totient is φ = 10080720000000.

The previous prime is 42465455456419. The next prime is 42465455456449.

42465455456424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6324202 + ... + 11177049.

It is an arithmetic number, because the mean of its divisors is an integer number (562315226760).

Almost surely, 2^{42465455456424} is an apocalyptic number.

42465455456424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42465455456424 is an abundant number, since it is smaller than the sum of its proper divisors (101487242594136).

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

42465455456424 is a wasteful number, since it uses less digits than its factorization.

42465455456424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17501392 (or 17501388 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 42465455456424 in words is "forty-two trillion, four hundred sixty-five billion, four hundred fifty-five million, four hundred fifty-six thousand, four hundred twenty-four".