42456488465424 has 160 divisors (see below), whose sum is σ = 125959094530560. Its totient is φ = 12187341388800.

The previous prime is 42456488465411. The next prime is 42456488465429.

42456488465424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (42456488465429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111777559 + ... + 112156745.

It is an arithmetic number, because the mean of its divisors is an integer number (787244340816).

Almost surely, 2^{42456488465424} is an apocalyptic number.

42456488465424 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 42456488465424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979547265280).

42456488465424 is an abundant number, since it is smaller than the sum of its proper divisors (83502606065136).

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

42456488465424 is a wasteful number, since it uses less digits than its factorization.

42456488465424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390389 (or 390383 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 66.

The spelling of 42456488465424 in words is "forty-two trillion, four hundred fifty-six billion, four hundred eighty-eight million, four hundred sixty-five thousand, four hundred twenty-four".