44352422425344 has 288 divisors, whose sum is σ = 134314711856640. Its totient is φ = 12976666644480.

The previous prime is 44352422425313. The next prime is 44352422425393.

44352422425344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44352422425293 and 44352422425302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28895949 + ... + 30392115.

It is an arithmetic number, because the mean of its divisors is an integer number (466370527280).

Almost surely, 2^{44352422425344} is an apocalyptic number.

44352422425344 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 44352422425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67157355928320).

44352422425344 is an abundant number, since it is smaller than the sum of its proper divisors (89962289431296).

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

44352422425344 is a wasteful number, since it uses less digits than its factorization.

44352422425344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496248 (or 1496212 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 44352422425344 in words is "forty-four trillion, three hundred fifty-two billion, four hundred twenty-two million, four hundred twenty-five thousand, three hundred forty-four".