4441124732000 has 384 divisors, whose sum is σ = 12097414457856. Its totient is φ = 1588896000000.

The previous prime is 4441124731997. The next prime is 4441124732003. The reversal of 4441124732000 is 2374211444.

It is an interprime number because it is at equal distance from previous prime (4441124731997) and next prime (4441124732003).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441124732003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724368935 + ... + 724375065.

It is an arithmetic number, because the mean of its divisors is an integer number (31503683484).

Almost surely, 2^{4441124732000} is an apocalyptic number.

4441124732000 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 4441124732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048707228928).

4441124732000 is an abundant number, since it is smaller than the sum of its proper divisors (7656289725856).

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

4441124732000 is a wasteful number, since it uses less digits than its factorization.

4441124732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 4441124732000 its reverse (2374211444), we get a palindrome (4443498943444).

The spelling of 4441124732000 in words is "four trillion, four hundred forty-one billion, one hundred twenty-four million, seven hundred thirty-two thousand".