4513354144440 has 128 divisors (see below), whose sum is σ = 13649806981440. Its totient is φ = 1193838206976.

The previous prime is 4513354144349. The next prime is 4513354144459. The reversal of 4513354144440 is 444414533154.

It is a junction number, because it is equal to n+sod(n) for n = 4513354144392 and 4513354144401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8738034 + ... + 9240126.

Almost surely, 2^{4513354144440} is an apocalyptic number.

4513354144440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4513354144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824903490720).

4513354144440 is an abundant number, since it is smaller than the sum of its proper divisors (9136452837000).

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

4513354144440 is a wasteful number, since it uses less digits than its factorization.

4513354144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502713 (or 502709 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 4513354144440 its reverse (444414533154), we get a palindrome (4957768677594).

The spelling of 4513354144440 in words is "four trillion, five hundred thirteen billion, three hundred fifty-four million, one hundred forty-four thousand, four hundred forty".