225150013440 has 624 divisors, whose sum is σ = 856532214720. Its totient is φ = 54252011520.

The previous prime is 225150013427. The next prime is 225150013477. The reversal of 225150013440 is 44310051522.

225150013440 is a `hidden beast` number, since 2 + 25 + 1 + 500 + 134 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594063171 + ... + 594063549.

It is an arithmetic number, because the mean of its divisors is an integer number (1372647780).

Almost surely, 2^225150013440 is an apocalyptic number.

225150013440 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 225150013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428266107360).

225150013440 is an abundant number, since it is smaller than the sum of its proper divisors (631382201280).

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

225150013440 is a wasteful number, since it uses less digits than its factorization.

225150013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 225150013440 its reverse (44310051522), we get a palindrome (269460064962).

The spelling of 225150013440 in words is "two hundred twenty-five billion, one hundred fifty million, thirteen thousand, four hundred forty".