225021404432 has 160 divisors (see below), whose sum is σ = 495396864000. Its totient is φ = 98133235200.

The previous prime is 225021404407. The next prime is 225021404441. The reversal of 225021404432 is 234404120522.

It is a junction number, because it is equal to n+sod(n) for n = 225021404395 and 225021404404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97368557 + ... + 97370867.

It is an arithmetic number, because the mean of its divisors is an integer number (3096230400).

Almost surely, 2^225021404432 is an apocalyptic number.

225021404432 is a gapful number since it is divisible by the number (22) 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 225021404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247698432000).

225021404432 is an abundant number, since it is smaller than the sum of its proper divisors (270375459568).

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

225021404432 is a wasteful number, since it uses less digits than its factorization.

225021404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 225021404432 its reverse (234404120522), we get a palindrome (459425524954).

The spelling of 225021404432 in words is "two hundred twenty-five billion, twenty-one million, four hundred four thousand, four hundred thirty-two".