42033304560 has 160 divisors (see below), whose sum is σ = 140579127360. Its totient is φ = 10328039424.

The previous prime is 42033304549. The next prime is 42033304571. The reversal of 42033304560 is 6540333024.

It is an interprime number because it is at equal distance from previous prime (42033304549) and next prime (42033304571).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763442 + ... + 1787118.

It is an arithmetic number, because the mean of its divisors is an integer number (878619546).

Almost surely, 2^42033304560 is an apocalyptic number.

42033304560 is a gapful number since it is divisible by the number (40) 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 42033304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70289563680).

42033304560 is an abundant number, since it is smaller than the sum of its proper divisors (98545822800).

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

42033304560 is a wasteful number, since it uses less digits than its factorization.

42033304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24275 (or 24269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 42033304560 its reverse (6540333024), we get a palindrome (48573637584).

The spelling of 42033304560 in words is "forty-two billion, thirty-three million, three hundred four thousand, five hundred sixty".