44250253344 has 384 divisors, whose sum is σ = 145686159360. Its totient is φ = 13113135360.

The previous prime is 44250253321. The next prime is 44250253349. The reversal of 44250253344 is 44335205244.

44250253344 is a `hidden beast` number, since 44 + 25 + 0 + 253 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44250253299 and 44250253308.

It is not an unprimeable number, because it can be changed into a prime (44250253349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36181117 + ... + 36182339.

It is an arithmetic number, because the mean of its divisors is an integer number (379391040).

Almost surely, 2^44250253344 is an apocalyptic number.

44250253344 is a gapful number since it is divisible by the number (44) 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 44250253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72843079680).

44250253344 is an abundant number, since it is smaller than the sum of its proper divisors (101435906016).

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

44250253344 is a wasteful number, since it uses less digits than its factorization.

44250253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 44250253344 its reverse (44335205244), we get a palindrome (88585458588).

The spelling of 44250253344 in words is "forty-four billion, two hundred fifty million, two hundred fifty-three thousand, three hundred forty-four".