42330465504 has 144 divisors (see below), whose sum is σ = 121657536000. Its totient is φ = 13960719360.

The previous prime is 42330465491. The next prime is 42330465517. The reversal of 42330465504 is 40556403324.

42330465504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42330465491) and next prime (42330465517).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15397122 + ... + 15399870.

It is an arithmetic number, because the mean of its divisors is an integer number (844844000).

Almost surely, 2^42330465504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60828768000).

42330465504 is an abundant number, since it is smaller than the sum of its proper divisors (79327070496).

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

42330465504 is a wasteful number, since it uses less digits than its factorization.

42330465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 42330465504 its reverse (40556403324), we get a palindrome (82886868828).

The spelling of 42330465504 in words is "forty-two billion, three hundred thirty million, four hundred sixty-five thousand, five hundred four".