225800704904040 has 512 divisors, whose sum is σ = 919304897126400. Its totient is φ = 48121633198080.

The previous prime is 225800704903973. The next prime is 225800704904041. The reversal of 225800704904040 is 40409407008522.

225800704904040 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 0 + 7 + 0 + 490 + 40 + 40 = 666.

It is a super-2 number, since 2×225800704904040² (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 (225800704904041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5541685 + ... + 21961595.

It is an arithmetic number, because the mean of its divisors is an integer number (1795517377200).

Almost surely, 2^{225800704904040} is an apocalyptic number.

225800704904040 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 225800704904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459652448563200).

225800704904040 is an abundant number, since it is smaller than the sum of its proper divisors (693504192222360).

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

225800704904040 is a wasteful number, since it uses less digits than its factorization.

225800704904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420062 (or 16420052 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 225800704904040 in words is "two hundred twenty-five trillion, eight hundred billion, seven hundred four million, nine hundred four thousand, forty".