444214414400 has 168 divisors, whose sum is σ = 1105887552000. Its totient is φ = 175606548480.

The previous prime is 444214414379. The next prime is 444214414421. The reversal of 444214414400 is 4414412444.

It is an interprime number because it is at equal distance from previous prime (444214414379) and next prime (444214414421).

It is a super-3 number, since 3×444214414400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73070561 + ... + 73076639.

It is an arithmetic number, because the mean of its divisors is an integer number (6582664000).

Almost surely, 2^444214414400 is an apocalyptic number.

444214414400 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 444214414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552943776000).

444214414400 is an abundant number, since it is smaller than the sum of its proper divisors (661673137600).

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

444214414400 is a wasteful number, since it uses less digits than its factorization.

444214414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 444214414400 its reverse (4414412444), we get a palindrome (448628826844).

It can be divided in two parts, 4442144 and 14400, that added together give a palindrome (4456544).

The spelling of 444214414400 in words is "four hundred forty-four billion, two hundred fourteen million, four hundred fourteen thousand, four hundred".