44259340004352 has 1056 divisors, whose sum is σ = 154951086011904. Its totient is φ = 12481413120000.

The previous prime is 44259340004251. The next prime is 44259340004357. The reversal of 44259340004352 is 25340004395244.

44259340004352 is a `hidden beast` number, since 4 + 4 + 2 + 593 + 4 + 0 + 0 + 0 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 44259340004298 and 44259340004307.

It is not an unprimeable number, because it can be changed into a prime (44259340004357) 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 95 ways as a sum of consecutive naturals, for example, 2329306852 + ... + 2329325852.

Almost surely, 2^{44259340004352} 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 44259340004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77475543005952).

44259340004352 is an abundant number, since it is smaller than the sum of its proper divisors (110691746007552).

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

44259340004352 is a wasteful number, since it uses less digits than its factorization.

44259340004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19107 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 44259340004352 its reverse (25340004395244), we get a palindrome (69599344399596).

The spelling of 44259340004352 in words is "forty-four trillion, two hundred fifty-nine billion, three hundred forty million, four thousand, three hundred fifty-two".