4144414313540 has 48 divisors (see below), whose sum is σ = 8948688703920. Its totient is φ = 1611319941120.

The previous prime is 4144414313477. The next prime is 4144414313569. The reversal of 4144414313540 is 453134144414.

4144414313540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1206008097856 + 2938406215684 = 1098184^2 + 1714178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4144414313494 and 4144414313503.

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, 9173777 + ... + 9614936.

It is an arithmetic number, because the mean of its divisors is an integer number (186431014665).

Almost surely, 2^{4144414313540} is an apocalyptic number.

It is an amenable number.

4144414313540 is an abundant number, since it is smaller than the sum of its proper divisors (4804274390380).

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

4144414313540 is a wasteful number, since it uses less digits than its factorization.

4144414313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18789032 (or 18789030 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 4144414313540 its reverse (453134144414), we get a palindrome (4597548457954).

The spelling of 4144414313540 in words is "four trillion, one hundred forty-four billion, four hundred fourteen million, three hundred thirteen thousand, five hundred forty".