4334414344456 has 64 divisors (see below), whose sum is σ = 9512732592000. Its totient is φ = 1812744880128.

The previous prime is 4334414344433. The next prime is 4334414344457. The reversal of 4334414344456 is 6544434144334.

It is not an unprimeable number, because it can be changed into a prime (4334414344457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808520 + ... + 3455368.

It is an arithmetic number, because the mean of its divisors is an integer number (148636446750).

Almost surely, 2^{4334414344456} 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 4334414344456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756366296000).

4334414344456 is an abundant number, since it is smaller than the sum of its proper divisors (5178318247544).

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

4334414344456 is a wasteful number, since it uses less digits than its factorization.

4334414344456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647998 (or 1647994 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 49.

The spelling of 4334414344456 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, four hundred fifty-six".