4144324143440 has 80 divisors (see below), whose sum is σ = 10377326256528. Its totient is φ = 1530127024128.

The previous prime is 4144324143439. The next prime is 4144324143461. The reversal of 4144324143440 is 443414234414.

It can be written as a sum of positive squares in 8 ways, for example, as 230795689744 + 3913528453696 = 480412^2 + 1978264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4144324143394 and 4144324143403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20467334 + ... + 20668826.

Almost surely, 2^{4144324143440} is an apocalyptic number.

4144324143440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144324143440 is an abundant number, since it is smaller than the sum of its proper divisors (6233002113088).

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

4144324143440 is a wasteful number, since it uses less digits than its factorization.

4144324143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221296 (or 221290 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 4144324143440 its reverse (443414234414), we get a palindrome (4587738377854).

The spelling of 4144324143440 in words is "four trillion, one hundred forty-four billion, three hundred twenty-four million, one hundred forty-three thousand, four hundred forty".