4464000000000 has 840 divisors, whose sum is σ = 16638982671168. Its totient is φ = 1152000000000.

The previous prime is 4463999999989. The next prime is 4464000000011. The reversal of 4464000000000 is 4644.

It is an interprime number because it is at equal distance from previous prime (4463999999989) and next prime (4464000000011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4464000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 143999999985 + ... + 144000000015.

Almost surely, 2^{4464000000000} is an apocalyptic number.

4464000000000 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 4464000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319491335584).

4464000000000 is an abundant number, since it is smaller than the sum of its proper divisors (12174982671168).

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

4464000000000 is an frugal number, since it uses more digits than its factorization.

4464000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4464000000000 its reverse (4644), we get a palindrome (4464000004644).

The spelling of 4464000000000 in words is "four trillion, four hundred sixty-four billion", and thus it is an aban number.