3114518704440 has 768 divisors, whose sum is σ = 11363572684800. Its totient is φ = 676531814400.

The previous prime is 3114518704373. The next prime is 3114518704441. The reversal of 3114518704440 is 444078154113.

It is a junction number, because it is equal to n+sod(n) for n = 3114518704392 and 3114518704401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114518704441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2094497377 + ... + 2094498863.

It is an arithmetic number, because the mean of its divisors is an integer number (14796318600).

Almost surely, 2^{3114518704440} is an apocalyptic number.

3114518704440 is a gapful number since it is divisible by the number (30) 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 3114518704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681786342400).

3114518704440 is an abundant number, since it is smaller than the sum of its proper divisors (8249053980360).

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

3114518704440 is a wasteful number, since it uses less digits than its factorization.

3114518704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 3114518704440 in words is "three trillion, one hundred fourteen billion, five hundred eighteen million, seven hundred four thousand, four hundred forty".