232133024640 has 512 divisors, whose sum is σ = 821705472000. Its totient is φ = 55272775680.

The previous prime is 232133024633. The next prime is 232133024677. The reversal of 232133024640 is 46420331232.

It is a super-2 number, since 2×232133024640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232133024598 and 232133024607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314117391 + ... + 314118129.

It is an arithmetic number, because the mean of its divisors is an integer number (1604893500).

Almost surely, 2^232133024640 is an apocalyptic number.

232133024640 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 232133024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410852736000).

232133024640 is an abundant number, since it is smaller than the sum of its proper divisors (589572447360).

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

232133024640 is a wasteful number, since it uses less digits than its factorization.

232133024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 232133024640 its reverse (46420331232), we get a palindrome (278553355872).

The spelling of 232133024640 in words is "two hundred thirty-two billion, one hundred thirty-three million, twenty-four thousand, six hundred forty".