444223043400 has 384 divisors, whose sum is σ = 1431524448000. Its totient is φ = 113865523200.

The previous prime is 444223043399. The next prime is 444223043419. The reversal of 444223043400 is 4340322444.

It is a super-2 number, since 2×444223043400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852635140 + ... + 852635660.

It is an arithmetic number, because the mean of its divisors is an integer number (3727928250).

Almost surely, 2^444223043400 is an apocalyptic number.

444223043400 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 444223043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715762224000).

444223043400 is an abundant number, since it is smaller than the sum of its proper divisors (987301404600).

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

444223043400 is a wasteful number, since it uses less digits than its factorization.

444223043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

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

Adding to 444223043400 its reverse (4340322444), we get a palindrome (448563365844).

The spelling of 444223043400 in words is "four hundred forty-four billion, two hundred twenty-three million, forty-three thousand, four hundred".