225142264440 has 192 divisors, whose sum is σ = 762726650400. Its totient is φ = 57524812800.

The previous prime is 225142264433. The next prime is 225142264453. The reversal of 225142264440 is 44462241522.

225142264440 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 4 + 2 + 2 + 644 + 4 + 0 = 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 = 225142264395 and 225142264404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285330 + ... + 1449950.

Almost surely, 2^225142264440 is an apocalyptic number.

225142264440 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 225142264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381363325200).

225142264440 is an abundant number, since it is smaller than the sum of its proper divisors (537584385960).

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

225142264440 is a wasteful number, since it uses less digits than its factorization.

225142264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164798 (or 164791 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 225142264440 in words is "two hundred twenty-five billion, one hundred forty-two million, two hundred sixty-four thousand, four hundred forty".