225661617040 has 40 divisors (see below), whose sum is σ = 525633163128. Its totient is φ = 90097781760.

The previous prime is 225661617037. The next prime is 225661617091. The reversal of 225661617040 is 40716166522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120209296 + 225541407744 = 10964^2 + 474912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 225661616984 and 225661617002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563717 + ... + 2650276.

Almost surely, 2^225661617040 is an apocalyptic number.

225661617040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225661617040 is an abundant number, since it is smaller than the sum of its proper divisors (299971546088).

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

225661617040 is a wasteful number, since it uses less digits than its factorization.

225661617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214547 (or 5214541 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 225661617040 in words is "two hundred twenty-five billion, six hundred sixty-one million, six hundred seventeen thousand, forty".