225641093135040 has 1568 divisors, whose sum is σ = 908571787038720. Its totient is φ = 52855052083200.

The previous prime is 225641093135021. The next prime is 225641093135041. The reversal of 225641093135040 is 40531390146522.

225641093135040 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 109 + 31 + 3 + 504 + 0 = 666.

It is a super-2 number, since 2×225641093135040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225641093135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 63400136781 + ... + 63400140339.

Almost surely, 2^{225641093135040} is an apocalyptic number.

225641093135040 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 225641093135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454285893519360).

225641093135040 is an abundant number, since it is smaller than the sum of its proper divisors (682930693903680).

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

225641093135040 is a wasteful number, since it uses less digits than its factorization.

225641093135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 225641093135040 in words is "two hundred twenty-five trillion, six hundred forty-one billion, ninety-three million, one hundred thirty-five thousand, forty".