230332142233440 has 336 divisors, whose sum is σ = 878625258034608. Its totient is φ = 56697142330368.

The previous prime is 230332142233399. The next prime is 230332142233451. The reversal of 230332142233440 is 44332241233032.

230332142233440 is a `hidden beast` number, since 2 + 30 + 332 + 1 + 4 + 223 + 34 + 40 = 666.

It is a super-2 number, since 2×230332142233440² (a number of 30 digits) contains 22 as substring.

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 = 230332142233395 and 230332142233404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 74434714 + ... + 77467353.

It is an arithmetic number, because the mean of its divisors is an integer number (2614956125103).

Almost surely, 2^{230332142233440} is an apocalyptic number.

230332142233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230332142233440 is an abundant number, since it is smaller than the sum of its proper divisors (648293115801168).

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

230332142233440 is a wasteful number, since it uses less digits than its factorization.

230332142233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151902113 (or 151902090 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 230332142233440 its reverse (44332241233032), we get a palindrome (274664383466472).

The spelling of 230332142233440 in words is "two hundred thirty trillion, three hundred thirty-two billion, one hundred forty-two million, two hundred thirty-three thousand, four hundred forty".