3116010695040 has 384 divisors, whose sum is σ = 11269028927520. Its totient is φ = 822704947200.

The previous prime is 3116010695029. The next prime is 3116010695041. The reversal of 3116010695040 is 405960106113.

3116010695040 is a `hidden beast` number, since 3 + 1 + 1 + 601 + 0 + 6 + 9 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3116010694986 and 3116010695004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116010695041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15608332 + ... + 15806708.

Almost surely, 2^{3116010695040} is an apocalyptic number.

3116010695040 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 3116010695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634514463760).

3116010695040 is an abundant number, since it is smaller than the sum of its proper divisors (8153018232480).

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

3116010695040 is a wasteful number, since it uses less digits than its factorization.

3116010695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198512 (or 198488 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 3116010695040 in words is "three trillion, one hundred sixteen billion, ten million, six hundred ninety-five thousand, forty".