4441132200000 has 672 divisors, whose sum is σ = 15879539894400. Its totient is φ = 1091543040000.

The previous prime is 4441132199993. The next prime is 4441132200007. The reversal of 4441132200000 is 22311444.

It is an interprime number because it is at equal distance from previous prime (4441132199993) and next prime (4441132200007).

It is a self number, because there is not a number n which added to its sum of digits gives 4441132200000.

It is not an unprimeable number, because it can be changed into a prime (4441132200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421794736 + ... + 421805264.

It is an arithmetic number, because the mean of its divisors is an integer number (23630267700).

Almost surely, 2^{4441132200000} is an apocalyptic number.

4441132200000 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 4441132200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939769947200).

4441132200000 is an abundant number, since it is smaller than the sum of its proper divisors (11438407694400).

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

4441132200000 is a wasteful number, since it uses less digits than its factorization.

4441132200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4441132200000 its reverse (22311444), we get a palindrome (4441154511444).

The spelling of 4441132200000 in words is "four trillion, four hundred forty-one billion, one hundred thirty-two million, two hundred thousand".