4414034310000 has 400 divisors, whose sum is σ = 16445989198848. Its totient is φ = 998928000000.

The previous prime is 4414034309977. The next prime is 4414034310013. The reversal of 4414034310000 is 134304144.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×4414034310000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21105945 + ... + 21314055.

Almost surely, 2^{4414034310000} is an apocalyptic number.

4414034310000 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 4414034310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222994599424).

4414034310000 is an abundant number, since it is smaller than the sum of its proper divisors (12031954888848).

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

4414034310000 is a wasteful number, since it uses less digits than its factorization.

4414034310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208250 (or 208229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4414034310000 its reverse (134304144), we get a palindrome (4414168614144).

The spelling of 4414034310000 in words is "four trillion, four hundred fourteen billion, thirty-four million, three hundred ten thousand".