422025025233504 has 768 divisors, whose sum is σ = 1422594759720960. Its totient is φ = 106370358312960.

The previous prime is 422025025233503. The next prime is 422025025233577. The reversal of 422025025233504 is 405332520520224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422025025233503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118646336494 + ... + 118646340050.

It is an arithmetic number, because the mean of its divisors is an integer number (1852336926720).

Almost surely, 2^{422025025233504} is an apocalyptic number.

422025025233504 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 422025025233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711297379860480).

422025025233504 is an abundant number, since it is smaller than the sum of its proper divisors (1000569734487456).

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

422025025233504 is a wasteful number, since it uses less digits than its factorization.

422025025233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 422025025233504 its reverse (405332520520224), we get a palindrome (827357545753728).

The spelling of 422025025233504 in words is "four hundred twenty-two trillion, twenty-five billion, twenty-five million, two hundred thirty-three thousand, five hundred four".