225816000040 has 64 divisors (see below), whose sum is σ = 546792748560. Its totient is φ = 83619409920.

The previous prime is 225816000037. The next prime is 225816000041. The reversal of 225816000040 is 40000618522.

225816000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15129492004 + 210686508036 = 123002^2 + 459006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225815999972 and 225816000008.

It is not an unprimeable number, because it can be changed into a prime (225816000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2680507 + ... + 2763466.

Almost surely, 2^225816000040 is an apocalyptic number.

225816000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225816000040 is an abundant number, since it is smaller than the sum of its proper divisors (320976748520).

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

225816000040 is a wasteful number, since it uses less digits than its factorization.

225816000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444062 (or 5444058 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 225816000040 its reverse (40000618522), we get a palindrome (265816618562).

The spelling of 225816000040 in words is "two hundred twenty-five billion, eight hundred sixteen million, forty", and thus it is an aban number.