225261164403440 has 40 divisors (see below), whose sum is σ = 571344226080048. Its totient is φ = 81913150691840.

The previous prime is 225261164403439. The next prime is 225261164403449. The reversal of 225261164403440 is 44304461162522.

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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 225261164403391 and 225261164403400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225261164403449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127989297077 + ... + 127989298836.

Almost surely, 2^{225261164403440} is an apocalyptic number.

225261164403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225261164403440 is an abundant number, since it is smaller than the sum of its proper divisors (346083061676608).

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

225261164403440 is a wasteful number, since it uses less digits than its factorization.

225261164403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255978595937 (or 255978595931 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 225261164403440 in words is "two hundred twenty-five trillion, two hundred sixty-one billion, one hundred sixty-four million, four hundred three thousand, four hundred forty".