4414536354144 has 72 divisors (see below), whose sum is σ = 13480102095768. Its totient is φ = 1261296099840.

The previous prime is 4414536354143. The next prime is 4414536354157.

4414536354144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4414536354093 and 4414536354102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414536354143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469227477 + ... + 469236884.

It is an arithmetic number, because the mean of its divisors is an integer number (187223640219).

Almost surely, 2^{4414536354144} is an apocalyptic number.

It is an amenable number.

4414536354144 is an abundant number, since it is smaller than the sum of its proper divisors (9065565741624).

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

4414536354144 is a wasteful number, since it uses less digits than its factorization.

4414536354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938464388 (or 938464373 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 4414536354144 in words is "four trillion, four hundred fourteen billion, five hundred thirty-six million, three hundred fifty-four thousand, one hundred forty-four".