44245215414400 has 768 divisors, whose sum is σ = 147514220985600. Its totient is φ = 12663757209600.

The previous prime is 44245215414349. The next prime is 44245215414401. The reversal of 44245215414400 is 441451254244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44245215414401) 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, 618181816 + ... + 618253384.

It is an arithmetic number, because the mean of its divisors is an integer number (192075808575).

Almost surely, 2^{44245215414400} is an apocalyptic number.

44245215414400 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 44245215414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73757110492800).

44245215414400 is an abundant number, since it is smaller than the sum of its proper divisors (103269005571200).

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

44245215414400 is a wasteful number, since it uses less digits than its factorization.

44245215414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71817 (or 71800 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 44245215414400 its reverse (441451254244), we get a palindrome (44686666668644).

The spelling of 44245215414400 in words is "forty-four trillion, two hundred forty-five billion, two hundred fifteen million, four hundred fourteen thousand, four hundred".