4332314413104 has 160 divisors (see below), whose sum is σ = 11602941292800. Its totient is φ = 1391276866560.

The previous prime is 4332314413061. The next prime is 4332314413111. The reversal of 4332314413104 is 4013144132334.

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, 1931481007 + ... + 1931483249.

It is an arithmetic number, because the mean of its divisors is an integer number (72518383080).

Almost surely, 2^{4332314413104} 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 4332314413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801470646400).

4332314413104 is an abundant number, since it is smaller than the sum of its proper divisors (7270626879696).

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

4332314413104 is a wasteful number, since it uses less digits than its factorization.

4332314413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 4332314413104 its reverse (4013144132334), we get a palindrome (8345458545438).

The spelling of 4332314413104 in words is "four trillion, three hundred thirty-two billion, three hundred fourteen million, four hundred thirteen thousand, one hundred four".