4334414322120 has 64 divisors (see below), whose sum is σ = 13768139617920. Its totient is φ = 1087853005824.

The previous prime is 4334414322067. The next prime is 4334414322163. The reversal of 4334414322120 is 212234144334.

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, 1062354412 + ... + 1062358491.

It is an arithmetic number, because the mean of its divisors is an integer number (215127181530).

Almost surely, 2^{4334414322120} is an apocalyptic number.

4334414322120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334414322120 is an abundant number, since it is smaller than the sum of its proper divisors (9433725295800).

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

4334414322120 is a wasteful number, since it uses less digits than its factorization.

4334414322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124712934 (or 2124712930 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4334414322120 its reverse (212234144334), we get a palindrome (4546648466454).

The spelling of 4334414322120 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred twenty-two thousand, one hundred twenty".