225642084935040 has 384 divisors, whose sum is σ = 785084586624000. Its totient is φ = 59715201024000.

The previous prime is 225642084935023. The next prime is 225642084935093. The reversal of 225642084935040 is 40539480246522.

225642084935040 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 208 + 49 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 987720030 + ... + 987948450.

It is an arithmetic number, because the mean of its divisors is an integer number (2044491111000).

Almost surely, 2^{225642084935040} is an apocalyptic number.

225642084935040 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 225642084935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392542293312000).

225642084935040 is an abundant number, since it is smaller than the sum of its proper divisors (559442501688960).

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

225642084935040 is a wasteful number, since it uses less digits than its factorization.

225642084935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229746 (or 229731 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 225642084935040 in words is "two hundred twenty-five trillion, six hundred forty-two billion, eighty-four million, nine hundred thirty-five thousand, forty".