444454344400 has 180 divisors, whose sum is σ = 1242742670316. Its totient is φ = 152112435200.

The previous prime is 444454344343. The next prime is 444454344419. The reversal of 444454344400 is 4443454444.

It can be written as a sum of positive squares in 6 ways, for example, as 14758362256 + 429695982144 = 121484^2 + 655512^2 .

It is a super-2 number, since 2×444454344400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 552714 + ... + 1092886.

Almost surely, 2^444454344400 is an apocalyptic number.

444454344400 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 444454344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621371335158).

444454344400 is an abundant number, since it is smaller than the sum of its proper divisors (798288325916).

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

444454344400 is a wasteful number, since it uses less digits than its factorization.

444454344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540230 (or 540208 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 40.

Adding to 444454344400 its reverse (4443454444), we get a palindrome (448897798844).

The spelling of 444454344400 in words is "four hundred forty-four billion, four hundred fifty-four million, three hundred forty-four thousand, four hundred".