432313012433340 has 288 divisors, whose sum is σ = 1399652006538240. Its totient is φ = 107700700032000.

The previous prime is 432313012433311. The next prime is 432313012433383. The reversal of 432313012433340 is 43334210313234.

432313012433340 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 1 + 301 + 2 + 4 + 3 + 3 + 340 = 666.

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 = 432313012433295 and 432313012433304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67694305 + ... + 73804775.

It is an arithmetic number, because the mean of its divisors is an integer number (4859902800480).

Almost surely, 2^{432313012433340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432313012433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699826003269120).

432313012433340 is an abundant number, since it is smaller than the sum of its proper divisors (967338994104900).

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

432313012433340 is a wasteful number, since it uses less digits than its factorization.

432313012433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110793 (or 6110788 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 432313012433340 its reverse (43334210313234), we get a palindrome (475647222746574).

The spelling of 432313012433340 in words is "four hundred thirty-two trillion, three hundred thirteen billion, twelve million, four hundred thirty-three thousand, three hundred forty".