333234404432340 has 192 divisors, whose sum is σ = 1012235873510400. Its totient is φ = 81636162564096.

The previous prime is 333234404432311. The next prime is 333234404432341. The reversal of 333234404432340 is 43234404432333.

It is a super-2 number, since 2×333234404432340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333234404432292 and 333234404432301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333234404432341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17639197 + ... + 31266756.

It is an arithmetic number, because the mean of its divisors is an integer number (5272061841200).

Almost surely, 2^{333234404432340} is an apocalyptic number.

333234404432340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

333234404432340 is an abundant number, since it is smaller than the sum of its proper divisors (679001469078060).

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

333234404432340 is a wasteful number, since it uses less digits than its factorization.

333234404432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48906166 (or 48906164 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 42.

Adding to 333234404432340 its reverse (43234404432333), we get a palindrome (376468808864673).

The spelling of 333234404432340 in words is "three hundred thirty-three trillion, two hundred thirty-four billion, four hundred four million, four hundred thirty-two thousand, three hundred forty".