444030344400 has 240 divisors, whose sum is σ = 1458262915200. Its totient is φ = 115425484800.

The previous prime is 444030344369. The next prime is 444030344411. The reversal of 444030344400 is 4443030444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×444030344400² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75912676 + ... + 75918524.

It is an arithmetic number, because the mean of its divisors is an integer number (6076095480).

Almost surely, 2^444030344400 is an apocalyptic number.

444030344400 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 444030344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729131457600).

444030344400 is an abundant number, since it is smaller than the sum of its proper divisors (1014232570800).

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

444030344400 is a wasteful number, since it uses less digits than its factorization.

444030344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 444030344400 its reverse (4443030444), we get a palindrome (448473374844).

The spelling of 444030344400 in words is "four hundred forty-four billion, thirty million, three hundred forty-four thousand, four hundred".