233430413040 has 240 divisors, whose sum is σ = 856382866560. Its totient is φ = 56511198720.

The previous prime is 233430413017. The next prime is 233430413059. The reversal of 233430413040 is 40314034332.

233430413040 is a `hidden beast` number, since 23 + 34 + 304 + 1 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 233430412995 and 233430413013.

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, 5832939 + ... + 5872821.

It is an arithmetic number, because the mean of its divisors is an integer number (3568261944).

Almost surely, 2^233430413040 is an apocalyptic number.

233430413040 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 233430413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428191433280).

233430413040 is an abundant number, since it is smaller than the sum of its proper divisors (622952453520).

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

233430413040 is a wasteful number, since it uses less digits than its factorization.

233430413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40652 (or 40643 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233430413040 its reverse (40314034332), we get a palindrome (273744447372).

The spelling of 233430413040 in words is "two hundred thirty-three billion, four hundred thirty million, four hundred thirteen thousand, forty".