444220121400 has 384 divisors, whose sum is σ = 1530839520000. Its totient is φ = 105649459200.

The previous prime is 444220121393. The next prime is 444220121407. The reversal of 444220121400 is 4121022444.

It is an interprime number because it is at equal distance from previous prime (444220121393) and next prime (444220121407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444220121407) 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 95 ways as a sum of consecutive naturals, for example, 276083796 + ... + 276085404.

It is an arithmetic number, because the mean of its divisors is an integer number (3986561250).

Almost surely, 2^444220121400 is an apocalyptic number.

444220121400 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 444220121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765419760000).

444220121400 is an abundant number, since it is smaller than the sum of its proper divisors (1086619398600).

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

444220121400 is a wasteful number, since it uses less digits than its factorization.

444220121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444220121400 its reverse (4121022444), we get a palindrome (448341143844).

The spelling of 444220121400 in words is "four hundred forty-four billion, two hundred twenty million, one hundred twenty-one thousand, four hundred".