233225125250040 has 192 divisors, whose sum is σ = 945016092034560. Its totient is φ = 48462363682560.

The previous prime is 233225125250021. The next prime is 233225125250063. The reversal of 233225125250040 is 40052521522332.

It is a happy number.

233225125250040 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 2 + 512 + 52 + 50 + 0 + 40 = 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 = 233225125249977 and 233225125250004.

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, 4206774684 + ... + 4206830123.

It is an arithmetic number, because the mean of its divisors is an integer number (4921958812680).

Almost surely, 2^{233225125250040} is an apocalyptic number.

233225125250040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233225125250040 is an abundant number, since it is smaller than the sum of its proper divisors (711790966784520).

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

233225125250040 is a wasteful number, since it uses less digits than its factorization.

233225125250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413604842 (or 8413604835 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 233225125250040 its reverse (40052521522332), we get a palindrome (273277646772372).

The spelling of 233225125250040 in words is "two hundred thirty-three trillion, two hundred twenty-five billion, one hundred twenty-five million, two hundred fifty thousand, forty".