225150042400 has 72 divisors (see below), whose sum is σ = 550215502704. Its totient is φ = 89966956800.

The previous prime is 225150042349. The next prime is 225150042419. The reversal of 225150042400 is 4240051522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631879 + ... + 921721.

It is an arithmetic number, because the mean of its divisors is an integer number (7641881982).

Almost surely, 2^225150042400 is an apocalyptic number.

225150042400 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 225150042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275107751352).

225150042400 is an abundant number, since it is smaller than the sum of its proper divisors (325065460304).

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

225150042400 is a wasteful number, since it uses less digits than its factorization.

225150042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290834 (or 290821 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 225150042400 its reverse (4240051522), we get a palindrome (229390093922).

The spelling of 225150042400 in words is "two hundred twenty-five billion, one hundred fifty million, forty-two thousand, four hundred".