4414305113400 has 384 divisors, whose sum is σ = 16941965644800. Its totient is φ = 931367923200.

The previous prime is 4414305113399. The next prime is 4414305113461. The reversal of 4414305113400 is 43115034144.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8988205 + ... + 9466595.

It is an arithmetic number, because the mean of its divisors is an integer number (44119702200).

Almost surely, 2^{4414305113400} is an apocalyptic number.

4414305113400 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 4414305113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470982822400).

4414305113400 is an abundant number, since it is smaller than the sum of its proper divisors (12527660531400).

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

4414305113400 is a wasteful number, since it uses less digits than its factorization.

4414305113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478456 (or 478421 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4414305113400 in words is "four trillion, four hundred fourteen billion, three hundred five million, one hundred thirteen thousand, four hundred".