225007411200 has 1008 divisors, whose sum is σ = 883308973536. Its totient is φ = 50095718400.

The previous prime is 225007411177. The next prime is 225007411249. The reversal of 225007411200 is 2114700522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1142169502 + ... + 1142169698.

Almost surely, 2^225007411200 is an apocalyptic number.

225007411200 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 225007411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441654486768).

225007411200 is an abundant number, since it is smaller than the sum of its proper divisors (658301562336).

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

225007411200 is a wasteful number, since it uses less digits than its factorization.

225007411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 225007411200 in words is "two hundred twenty-five billion, seven million, four hundred eleven thousand, two hundred".