225007117440 has 512 divisors, whose sum is σ = 841704652800. Its totient is φ = 50066325504.

The previous prime is 225007117417. The next prime is 225007117457. The reversal of 225007117440 is 44711700522.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77507029 + ... + 77509931.

It is an arithmetic number, because the mean of its divisors is an integer number (1643954400).

Almost surely, 2^225007117440 is an apocalyptic number.

225007117440 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 225007117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420852326400).

225007117440 is an abundant number, since it is smaller than the sum of its proper divisors (616697535360).

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

225007117440 is a wasteful number, since it uses less digits than its factorization.

225007117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

Adding to 225007117440 its reverse (44711700522), we get a palindrome (269718817962).

The spelling of 225007117440 in words is "two hundred twenty-five billion, seven million, one hundred seventeen thousand, four hundred forty".