4144440304400 has 120 divisors (see below), whose sum is σ = 10935103680000. Its totient is φ = 1496954406400.

The previous prime is 4144440304373. The next prime is 4144440304409. The reversal of 4144440304400 is 44030444414.

It is not an unprimeable number, because it can be changed into a prime (4144440304409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505200 + ... + 3816399.

It is an arithmetic number, because the mean of its divisors is an integer number (91125864000).

Almost surely, 2^{4144440304400} is an apocalyptic number.

4144440304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144440304400 is an abundant number, since it is smaller than the sum of its proper divisors (6790663375600).

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

4144440304400 is a wasteful number, since it uses less digits than its factorization.

4144440304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321777 (or 6321766 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4144440304400 its reverse (44030444414), we get a palindrome (4188470748814).

The spelling of 4144440304400 in words is "four trillion, one hundred forty-four billion, four hundred forty million, three hundred four thousand, four hundred".