3118074099840 has 512 divisors, whose sum is σ = 13363183526400. Its totient is φ = 670778523648.

The previous prime is 3118074099827. The next prime is 3118074099871. The reversal of 3118074099840 is 489904708113.

3118074099840 is a `hidden beast` number, since 31 + 1 + 80 + 7 + 409 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1298152 + ... + 2814488.

It is an arithmetic number, because the mean of its divisors is an integer number (26099967825).

Almost surely, 2^{3118074099840} is an apocalyptic number.

3118074099840 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 3118074099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681591763200).

3118074099840 is an abundant number, since it is smaller than the sum of its proper divisors (10245109426560).

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

3118074099840 is a wasteful number, since it uses less digits than its factorization.

3118074099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516389 (or 1516371 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3118074099840 in words is "three trillion, one hundred eighteen billion, seventy-four million, ninety-nine thousand, eight hundred forty".