433434103104 has 224 divisors, whose sum is σ = 1279509678720. Its totient is φ = 128686620672.

The previous prime is 433434103099. The next prime is 433434103111. The reversal of 433434103104 is 401301434334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69268744 + ... + 69275000.

It is an arithmetic number, because the mean of its divisors is an integer number (5712096780).

Almost surely, 2^433434103104 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 433434103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639754839360).

433434103104 is an abundant number, since it is smaller than the sum of its proper divisors (846075575616).

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

433434103104 is a wasteful number, since it uses less digits than its factorization.

433434103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7415 counting only the distinct ones).

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

Adding to 433434103104 its reverse (401301434334), we get a palindrome (834735537438).

The spelling of 433434103104 in words is "four hundred thirty-three billion, four hundred thirty-four million, one hundred three thousand, one hundred four".