225140505550400 has 168 divisors, whose sum is σ = 604381029849696. Its totient is φ = 81864902246400.

The previous prime is 225140505550399. The next prime is 225140505550453. The reversal of 225140505550400 is 4055505041522.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338767232 + ... + 339431168.

Almost surely, 2^{225140505550400} is an apocalyptic number.

225140505550400 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 225140505550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302190514924848).

225140505550400 is an abundant number, since it is smaller than the sum of its proper divisors (379240524299296).

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

225140505550400 is a wasteful number, since it uses less digits than its factorization.

225140505550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683237 (or 683222 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 38.

The spelling of 225140505550400 in words is "two hundred twenty-five trillion, one hundred forty billion, five hundred five million, five hundred fifty thousand, four hundred".