3113801278240 has 96 divisors (see below), whose sum is σ = 7537036696560. Its totient is φ = 1214939136000.

The previous prime is 3113801278177. The next prime is 3113801278249. The reversal of 3113801278240 is 428721083113.

It can be written as a sum of positive squares in 8 ways, for example, as 120223079824 + 2993578198416 = 346732^2 + 1730196^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3113801278193 and 3113801278202.

It is not an unprimeable number, because it can be changed into a prime (3113801278249) 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 15 ways as a sum of consecutive naturals, for example, 42793890 + ... + 42866590.

Almost surely, 2^{3113801278240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113801278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768518348280).

3113801278240 is an abundant number, since it is smaller than the sum of its proper divisors (4423235418320).

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

3113801278240 is a wasteful number, since it uses less digits than its factorization.

3113801278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79286 (or 79278 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 3113801278240 in words is "three trillion, one hundred thirteen billion, eight hundred one million, two hundred seventy-eight thousand, two hundred forty".