225194726400 has 264 divisors, whose sum is σ = 850608087360. Its totient is φ = 51472957440.

The previous prime is 225194726321. The next prime is 225194726443. The reversal of 225194726400 is 4627491522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328156 + ... + 747044.

Almost surely, 2^225194726400 is an apocalyptic number.

225194726400 is a gapful number since it is divisible by the number (20) 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 225194726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425304043680).

225194726400 is an abundant number, since it is smaller than the sum of its proper divisors (625413360960).

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

225194726400 is a wasteful number, since it uses less digits than its factorization.

225194726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418929 (or 418906 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 225194726400 in words is "two hundred twenty-five billion, one hundred ninety-four million, seven hundred twenty-six thousand, four hundred".