4434014214120 has 64 divisors (see below), whose sum is σ = 13585064843520. Its totient is φ = 1157246261504.

The previous prime is 4434014214089. The next prime is 4434014214127. The reversal of 4434014214120 is 214124104344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4434014214127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393080727 + ... + 393092006.

It is an arithmetic number, because the mean of its divisors is an integer number (212266638180).

Almost surely, 2^{4434014214120} is an apocalyptic number.

4434014214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434014214120 is an abundant number, since it is smaller than the sum of its proper divisors (9151050629400).

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

4434014214120 is a wasteful number, since it uses less digits than its factorization.

4434014214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786172794 (or 786172790 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4434014214120 its reverse (214124104344), we get a palindrome (4648138318464).

The spelling of 4434014214120 in words is "four trillion, four hundred thirty-four billion, fourteen million, two hundred fourteen thousand, one hundred twenty".