42002404022304 has 288 divisors, whose sum is σ = 135182205849600. Its totient is φ = 12255518246400.

The previous prime is 42002404022297. The next prime is 42002404022333. The reversal of 42002404022304 is 40322040420024.

42002404022304 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 24 + 0 + 402 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18468799 + ... + 20617985.

It is an arithmetic number, because the mean of its divisors is an integer number (469382659200).

Almost surely, 2^{42002404022304} is an apocalyptic number.

42002404022304 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 42002404022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67591102924800).

42002404022304 is an abundant number, since it is smaller than the sum of its proper divisors (93179801827296).

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

42002404022304 is a wasteful number, since it uses less digits than its factorization.

42002404022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149444 (or 2149433 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 42002404022304 its reverse (40322040420024), we get a palindrome (82324444442328).

The spelling of 42002404022304 in words is "forty-two trillion, two billion, four hundred four million, twenty-two thousand, three hundred four".