42002321760 has 216 divisors, whose sum is σ = 166734496656. Its totient is φ = 9600514560.

The previous prime is 42002321759. The next prime is 42002321771. The reversal of 42002321760 is 6712320024.

42002321760 is a `hidden beast` number, since 420 + 0 + 23 + 217 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 227076 + ... + 368195.

It is an arithmetic number, because the mean of its divisors is an integer number (771918966).

Almost surely, 2^42002321760 is an apocalyptic number.

42002321760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002321760 is an abundant number, since it is smaller than the sum of its proper divisors (124732174896).

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

42002321760 is a wasteful number, since it uses less digits than its factorization.

42002321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595306 (or 595288 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 42002321760 its reverse (6712320024), we get a palindrome (48714641784).

The spelling of 42002321760 in words is "forty-two billion, two million, three hundred twenty-one thousand, seven hundred sixty".