225740761440 has 192 divisors, whose sum is σ = 759822275520. Its totient is φ = 56136499200.

The previous prime is 225740761427. The next prime is 225740761453. The reversal of 225740761440 is 44167047522.

It is an interprime number because it is at equal distance from previous prime (225740761427) and next prime (225740761453).

It is a junction number, because it is equal to n+sod(n) for n = 225740761392 and 225740761401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 762540 + ... + 1016340.

It is an arithmetic number, because the mean of its divisors is an integer number (3957407685).

Almost surely, 2^225740761440 is an apocalyptic number.

225740761440 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 225740761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379911137760).

225740761440 is an abundant number, since it is smaller than the sum of its proper divisors (534081514080).

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

225740761440 is a wasteful number, since it uses less digits than its factorization.

225740761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253945 (or 253937 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 225740761440 in words is "two hundred twenty-five billion, seven hundred forty million, seven hundred sixty-one thousand, four hundred forty".