4314440132240 has 80 divisors (see below), whose sum is σ = 11466379021440. Its totient is φ = 1478940456960.

The previous prime is 4314440132239. The next prime is 4314440132251. The reversal of 4314440132240 is 422310444134.

4314440132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×4314440132240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314440132197 and 4314440132206.

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, 2037416 + ... + 3574904.

It is an arithmetic number, because the mean of its divisors is an integer number (143329737768).

Almost surely, 2^{4314440132240} is an apocalyptic number.

4314440132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314440132240 is an abundant number, since it is smaller than the sum of its proper divisors (7151938889200).

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

4314440132240 is a wasteful number, since it uses less digits than its factorization.

4314440132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542520 (or 1542514 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4314440132240 its reverse (422310444134), we get a palindrome (4736750576374).

The spelling of 4314440132240 in words is "four trillion, three hundred fourteen billion, four hundred forty million, one hundred thirty-two thousand, two hundred forty".