3111365488440 has 256 divisors, whose sum is σ = 10824604439040. Its totient is φ = 707072000000.

The previous prime is 3111365488433. The next prime is 3111365488477. The reversal of 3111365488440 is 448845631113.

It is a self number, because there is not a number n which added to its sum of digits gives 3111365488440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5356240 + ... + 5908640.

It is an arithmetic number, because the mean of its divisors is an integer number (42283611090).

Almost surely, 2^{3111365488440} is an apocalyptic number.

3111365488440 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 3111365488440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412302219520).

3111365488440 is an abundant number, since it is smaller than the sum of its proper divisors (7713238950600).

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

3111365488440 is a wasteful number, since it uses less digits than its factorization.

3111365488440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552694 (or 552690 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 3111365488440 in words is "three trillion, one hundred eleven billion, three hundred sixty-five million, four hundred eighty-eight thousand, four hundred forty".