225286412040 has 96 divisors (see below), whose sum is σ = 732242511000. Its totient is φ = 60071316480.

The previous prime is 225286412023. The next prime is 225286412041. The reversal of 225286412040 is 40214682522.

225286412040 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 641 + 2 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178984840356 + 46301571684 = 423066^2 + 215178^2 .

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 = 225286411986 and 225286412004.

It is not an unprimeable number, because it can be changed into a prime (225286412041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6484636 + ... + 6519284.

Almost surely, 2^225286412040 is an apocalyptic number.

225286412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225286412040 is an abundant number, since it is smaller than the sum of its proper divisors (506956098960).

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

225286412040 is a wasteful number, since it uses less digits than its factorization.

225286412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52727 (or 52720 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 225286412040 in words is "two hundred twenty-five billion, two hundred eighty-six million, four hundred twelve thousand, forty".