433412383385488 has 160 divisors (see below), whose sum is σ = 923028847060320. Its totient is φ = 195948332236800.

The previous prime is 433412383385441. The next prime is 433412383385561. The reversal of 433412383385488 is 884583383214334.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7104466944 + 433405278918544 = 84288^2 + 20818388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550103556 + ... + 1550383132.

It is an arithmetic number, because the mean of its divisors is an integer number (5768930294127).

Almost surely, 2^{433412383385488} 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 433412383385488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461514423530160).

433412383385488 is an abundant number, since it is smaller than the sum of its proper divisors (489616463674832).

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

433412383385488 is a wasteful number, since it uses less digits than its factorization.

433412383385488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280485 (or 280479 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 67.

The spelling of 433412383385488 in words is "four hundred thirty-three trillion, four hundred twelve billion, three hundred eighty-three million, three hundred eighty-five thousand, four hundred eighty-eight".