433201121102334 has 128 divisors (see below), whose sum is σ = 983776223808000. Its totient is φ = 126069022702080.

The previous prime is 433201121102317. The next prime is 433201121102381.

433201121102334 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×433201121102334² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19383456592 + ... + 19383478940.

It is an arithmetic number, because the mean of its divisors is an integer number (7685751748500).

Almost surely, 2^{433201121102334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433201121102334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491888111904000).

433201121102334 is an abundant number, since it is smaller than the sum of its proper divisors (550575102705666).

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

433201121102334 is a wasteful number, since it uses less digits than its factorization.

433201121102334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43370.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 433201121102334 in words is "four hundred thirty-three trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, three hundred thirty-four".