433376413738268 has 384 divisors, whose sum is σ = 1038599486668800. Its totient is φ = 152782031001600.

The previous prime is 433376413738237. The next prime is 433376413738271. The reversal of 433376413738268 is 862837314673334.

It is a junction number, because it is equal to n+sod(n) for n = 433376413738198 and 433376413738207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27965173496 + ... + 27965188992.

It is an arithmetic number, because the mean of its divisors is an integer number (2704686163200).

Almost surely, 2^{433376413738268} 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 433376413738268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519299743334400).

433376413738268 is an abundant number, since it is smaller than the sum of its proper divisors (605223072930532).

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

433376413738268 is a wasteful number, since it uses less digits than its factorization.

433376413738268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16241 (or 16239 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 68.

The spelling of 433376413738268 in words is "four hundred thirty-three trillion, three hundred seventy-six billion, four hundred thirteen million, seven hundred thirty-eight thousand, two hundred sixty-eight".