3111331487040 has 2688 divisors, whose sum is σ = 13803606835200. Its totient is φ = 665725132800.

The previous prime is 3111331487003. The next prime is 3111331487101. The reversal of 3111331487040 is 407841331113.

It is a happy number.

3111331487040 is a `hidden beast` number, since 3 + 1 + 1 + 133 + 1 + 487 + 0 + 40 = 666.

3111331487040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3111331486986 and 3111331487004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43821570205 + ... + 43821570275.

It is an arithmetic number, because the mean of its divisors is an integer number (5135270400).

Almost surely, 2^{3111331487040} is an apocalyptic number.

3111331487040 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 3111331487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901803417600).

3111331487040 is an abundant number, since it is smaller than the sum of its proper divisors (10692275348160).

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

3111331487040 is an equidigital number, since it uses as much as digits as its factorization.

3111331487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3111331487040 in words is "three trillion, one hundred eleven billion, three hundred thirty-one million, four hundred eighty-seven thousand, forty".