64244140144440 has 256 divisors, whose sum is σ = 205198126848000. Its totient is φ = 16034927763456.

The previous prime is 64244140144417. The next prime is 64244140144603. The reversal of 64244140144440 is 4444104144246.

64244140144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64244140144392 and 64244140144401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919064611 + ... + 919134509.

It is an arithmetic number, because the mean of its divisors is an integer number (801555183000).

Almost surely, 2^{64244140144440} is an apocalyptic number.

64244140144440 is a gapful number since it is divisible by the number (60) 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 64244140144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102599063424000).

64244140144440 is an abundant number, since it is smaller than the sum of its proper divisors (140953986703560).

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

64244140144440 is a wasteful number, since it uses less digits than its factorization.

64244140144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72414 (or 72410 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

Adding to 64244140144440 its reverse (4444104144246), we get a palindrome (68688244288686).

The spelling of 64244140144440 in words is "sixty-four trillion, two hundred forty-four billion, one hundred forty million, one hundred forty-four thousand, four hundred forty".