4314042403120 has 80 divisors (see below), whose sum is σ = 10134804911328. Its totient is φ = 1707629619200.

The previous prime is 4314042403117. The next prime is 4314042403133. The reversal of 4314042403120 is 213042404134.

4314042403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4314042403120² (a number of 26 digits) contains 22 as substring.

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, 15268572 + ... + 15548548.

Almost surely, 2^{4314042403120} is an apocalyptic number.

4314042403120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314042403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067402455664).

4314042403120 is an abundant number, since it is smaller than the sum of its proper divisors (5820762508208).

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

4314042403120 is a wasteful number, since it uses less digits than its factorization.

4314042403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281998 (or 281992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4314042403120 its reverse (213042404134), we get a palindrome (4527084807254).

The spelling of 4314042403120 in words is "four trillion, three hundred fourteen billion, forty-two million, four hundred three thousand, one hundred twenty".