233214121440000 has 270 divisors, whose sum is σ = 840248297004116. Its totient is φ = 62190432000000.

The previous prime is 233214121439987. The next prime is 233214121440007. The reversal of 233214121440000 is 44121412332.

233214121440000 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 1 + 41 + 214 + 400 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (233214121440007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 79537126 + ... + 82417125.

Almost surely, 2^{233214121440000} is an apocalyptic number.

233214121440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233214121440000 is an abundant number, since it is smaller than the sum of its proper divisors (607034175564116).

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

233214121440000 is an equidigital number, since it uses as much as digits as its factorization.

233214121440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161954293 (or 161954261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 233214121440000 its reverse (44121412332), we get a palindrome (233258242852332).

The spelling of 233214121440000 in words is "two hundred thirty-three trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred forty thousand".