4334414344512 has 112 divisors (see below), whose sum is σ = 13107745996800. Its totient is φ = 1238281016832.

The previous prime is 4334414344457. The next prime is 4334414344693. The reversal of 4334414344512 is 2154434144334.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4334414344512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13821193 + ... + 14131319.

It is an arithmetic number, because the mean of its divisors is an integer number (117033446400).

Almost surely, 2^{4334414344512} is an apocalyptic number.

4334414344512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4334414344512 is an abundant number, since it is smaller than the sum of its proper divisors (8773331652288).

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

4334414344512 is a wasteful number, since it uses less digits than its factorization.

4334414344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320548 (or 320538 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

Adding to 4334414344512 its reverse (2154434144334), we get a palindrome (6488848488846).

The spelling of 4334414344512 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, five hundred twelve".