4444305214400 has 84 divisors (see below), whose sum is σ = 10943808978480. Its totient is φ = 1776415027200.

The previous prime is 4444305214337. The next prime is 4444305214403. The reversal of 4444305214400 is 44125034444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444305214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157141 + ... + 3198059.

It is an arithmetic number, because the mean of its divisors is an integer number (130283440220).

Almost surely, 2^{4444305214400} is an apocalyptic number.

4444305214400 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 4444305214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471904489240).

4444305214400 is an abundant number, since it is smaller than the sum of its proper divisors (6499503764080).

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

4444305214400 is a wasteful number, since it uses less digits than its factorization.

4444305214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042302 (or 2042287 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 4444305214400 in words is "four trillion, four hundred forty-four billion, three hundred five million, two hundred fourteen thousand, four hundred".