4144434314440 has 128 divisors (see below), whose sum is σ = 11222494272000. Its totient is φ = 1346698856448.

The previous prime is 4144434314347. The next prime is 4144434314557. The reversal of 4144434314440 is 444134344414.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4144434314393 and 4144434314402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250085 + ... + 3654004.

It is an arithmetic number, because the mean of its divisors is an integer number (87675736500).

Almost surely, 2^{4144434314440} is an apocalyptic number.

4144434314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144434314440 is an abundant number, since it is smaller than the sum of its proper divisors (7078059957560).

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

4144434314440 is a wasteful number, since it uses less digits than its factorization.

4144434314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904239 (or 5904235 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 4144434314440 its reverse (444134344414), we get a palindrome (4588568658854).

The spelling of 4144434314440 in words is "four trillion, one hundred forty-four billion, four hundred thirty-four million, three hundred fourteen thousand, four hundred forty".