42201505202304 has 256 divisors, whose sum is σ = 129274336512000. Its totient is φ = 11948197330944.

The previous prime is 42201505202291. The next prime is 42201505202411. The reversal of 42201505202304 is 40320250510224.

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, 1645975917 + ... + 1646001555.

It is an arithmetic number, because the mean of its divisors is an integer number (504977877000).

Almost surely, 2^{42201505202304} 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 42201505202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64637168256000).

42201505202304 is an abundant number, since it is smaller than the sum of its proper divisors (87072831309696).

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

42201505202304 is a wasteful number, since it uses less digits than its factorization.

42201505202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31195 (or 31183 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42201505202304 its reverse (40320250510224), we get a palindrome (82521755712528).

The spelling of 42201505202304 in words is "forty-two trillion, two hundred one billion, five hundred five million, two hundred two thousand, three hundred four".