225411410304 has 128 divisors (see below), whose sum is σ = 665464320000. Its totient is φ = 75115952640.

The previous prime is 225411410299. The next prime is 225411410309. The reversal of 225411410304 is 403014114522.

225411410304 is a `hidden beast` number, since 2 + 2 + 541 + 14 + 103 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (225411410299) and next prime (225411410309).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225411410309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16578549 + ... + 16592139.

It is an arithmetic number, because the mean of its divisors is an integer number (5198940000).

Almost surely, 2^225411410304 is an apocalyptic number.

225411410304 is a gapful number since it is divisible by the number (24) 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 225411410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332732160000).

225411410304 is an abundant number, since it is smaller than the sum of its proper divisors (440052909696).

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

225411410304 is a wasteful number, since it uses less digits than its factorization.

225411410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18413 (or 18395 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 225411410304 its reverse (403014114522), we get a palindrome (628425524826).

The spelling of 225411410304 in words is "two hundred twenty-five billion, four hundred eleven million, four hundred ten thousand, three hundred four".