4441600000000 has 288 divisors, whose sum is σ = 11135824376580. Its totient is φ = 1771520000000.

The previous prime is 4441599999919. The next prime is 4441600000207. The reversal of 4441600000000 is 61444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12799999827 + ... + 12800000173.

Almost surely, 2^{4441600000000} is an apocalyptic number.

4441600000000 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 4441600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567912188290).

4441600000000 is an abundant number, since it is smaller than the sum of its proper divisors (6694224376580).

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

4441600000000 is an frugal number, since it uses more digits than its factorization.

4441600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 4441600000000 its reverse (61444), we get a palindrome (4441600061444).

The spelling of 4441600000000 in words is "four trillion, four hundred forty-one billion, six hundred million", and thus it is an aban number.