42456422465424 has 320 divisors, whose sum is σ = 133839433728000. Its totient is φ = 12779220787200.

The previous prime is 42456422465419. The next prime is 42456422465449.

42456422465424 is a `hidden beast` number, since 4 + 2 + 4 + 56 + 4 + 2 + 2 + 46 + 542 + 4 = 666.

42456422465424 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475758889 + ... + 475848119.

It is an arithmetic number, because the mean of its divisors is an integer number (418248230400).

Almost surely, 2^{42456422465424} is an apocalyptic number.

42456422465424 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 42456422465424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66919716864000).

42456422465424 is an abundant number, since it is smaller than the sum of its proper divisors (91383011262576).

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

42456422465424 is a wasteful number, since it uses less digits than its factorization.

42456422465424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89931 (or 89919 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 42456422465424 in words is "forty-two trillion, four hundred fifty-six billion, four hundred twenty-two million, four hundred sixty-five thousand, four hundred twenty-four".