433142033104 has 90 divisors (see below), whose sum is σ = 955349111990. Its totient is φ = 190092967680.

The previous prime is 433142033089. The next prime is 433142033173. The reversal of 433142033104 is 401330241334.

It can be written as a sum of positive squares in 3 ways, for example, as 162796110400 + 270345922704 = 403480^2 + 519948^2 .

It is a super-3 number, since 3×433142033104³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 17 ways as a sum of consecutive naturals, for example, 1495162 + ... + 1761190.

Almost surely, 2^433142033104 is an apocalyptic number.

433142033104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433142033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477674555995).

433142033104 is an abundant number, since it is smaller than the sum of its proper divisors (522207078886).

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

433142033104 is a wasteful number, since it uses less digits than its factorization.

433142033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266117 (or 266071 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 433142033104 its reverse (401330241334), we get a palindrome (834472274438).

The spelling of 433142033104 in words is "four hundred thirty-three billion, one hundred forty-two million, thirty-three thousand, one hundred four".