444000440400 has 240 divisors, whose sum is σ = 1580857300800. Its totient is φ = 105605427200.

The previous prime is 444000440383. The next prime is 444000440413. The reversal of 444000440400 is 4044000444.

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

It is a super-3 number, since 3×444000440400³ (a number of 36 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 382276 + ... + 1016924.

It is an arithmetic number, because the mean of its divisors is an integer number (6586905420).

Almost surely, 2^444000440400 is an apocalyptic number.

444000440400 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 444000440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790428650400).

444000440400 is an abundant number, since it is smaller than the sum of its proper divisors (1136856860400).

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

444000440400 is a wasteful number, since it uses less digits than its factorization.

444000440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634734 (or 634723 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444000440400 its reverse (4044000444), we get a palindrome (448044440844).

The spelling of 444000440400 in words is "four hundred forty-four billion, four hundred forty thousand, four hundred".