44342824344 has 512 divisors, whose sum is σ = 150029107200. Its totient is φ = 10653327360.

The previous prime is 44342824313. The next prime is 44342824349.

44342824344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44342824296 and 44342824305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44342824349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232161289 + ... + 232161479.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 2^44342824344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44342824344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75014553600).

44342824344 is an abundant number, since it is smaller than the sum of its proper divisors (105686282856).

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

44342824344 is a wasteful number, since it uses less digits than its factorization.

44342824344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 44342824344 in words is "forty-four billion, three hundred forty-two million, eight hundred twenty-four thousand, three hundred forty-four".