444104034000 has 640 divisors, whose sum is σ = 1622028754944. Its totient is φ = 103599360000.

The previous prime is 444104033981. The next prime is 444104034043. The reversal of 444104034000 is 430401444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189220827 + ... + 189223173.

Almost surely, 2^444104034000 is an apocalyptic number.

444104034000 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 444104034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811014377472).

444104034000 is an abundant number, since it is smaller than the sum of its proper divisors (1177924720944).

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

444104034000 is a wasteful number, since it uses less digits than its factorization.

444104034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444104034000 its reverse (430401444), we get a palindrome (444534435444).

The spelling of 444104034000 in words is "four hundred forty-four billion, one hundred four million, thirty-four thousand".