225634024440 has 384 divisors, whose sum is σ = 831024230400. Its totient is φ = 54605560320.

The previous prime is 225634024433. The next prime is 225634024529. The reversal of 225634024440 is 44420436522.

225634024440 is a `hidden beast` number, since 2 + 256 + 340 + 24 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225634024395 and 225634024404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78370921 + ... + 78373799.

It is an arithmetic number, because the mean of its divisors is an integer number (2164125600).

Almost surely, 2^225634024440 is an apocalyptic number.

225634024440 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 225634024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415512115200).

225634024440 is an abundant number, since it is smaller than the sum of its proper divisors (605390205960).

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

225634024440 is a wasteful number, since it uses less digits than its factorization.

225634024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 225634024440 in words is "two hundred twenty-five billion, six hundred thirty-four million, twenty-four thousand, four hundred forty".