225651743040 has 224 divisors, whose sum is σ = 726522255360. Its totient is φ = 59332919296.

The previous prime is 225651743039. The next prime is 225651743041. The reversal of 225651743040 is 40347156522.

It is an interprime number because it is at equal distance from previous prime (225651743039) and next prime (225651743041).

It is a self number, because there is not a number n which added to its sum of digits gives 225651743040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225651743041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21365281 + ... + 21375839.

Almost surely, 2^225651743040 is an apocalyptic number.

225651743040 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 225651743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363261127680).

225651743040 is an abundant number, since it is smaller than the sum of its proper divisors (500870512320).

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

225651743040 is a wasteful number, since it uses less digits than its factorization.

225651743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 225651743040 its reverse (40347156522), we get a palindrome (265998899562).

The spelling of 225651743040 in words is "two hundred twenty-five billion, six hundred fifty-one million, seven hundred forty-three thousand, forty".