42456355365424 has 160 divisors (see below), whose sum is σ = 110563313495040. Its totient is φ = 15252787123200.

The previous prime is 42456355365383. The next prime is 42456355365439.

It is a happy number.

42456355365424 is nontrivially palindromic in base 10.

42456355365424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42456355365424² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13662517 + ... + 16479595.

It is an arithmetic number, because the mean of its divisors is an integer number (691020709344).

Almost surely, 2^{42456355365424} is an apocalyptic number.

42456355365424 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 42456355365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55281656747520).

42456355365424 is an abundant number, since it is smaller than the sum of its proper divisors (68106958129616).

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

42456355365424 is a wasteful number, since it uses less digits than its factorization.

42456355365424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818059 (or 2818053 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

The spelling of 42456355365424 in words is "forty-two trillion, four hundred fifty-six billion, three hundred fifty-five million, three hundred sixty-five thousand, four hundred twenty-four".