3140404397856 has 576 divisors, whose sum is σ = 10366291353600. Its totient is φ = 893169561600.

The previous prime is 3140404397839. The next prime is 3140404397873. The reversal of 3140404397856 is 6587934040413.

3140404397856 is a `hidden beast` number, since 3 + 140 + 404 + 3 + 97 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3140404397839) and next prime (3140404397873).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 360175065 + ... + 360183783.

It is an arithmetic number, because the mean of its divisors is an integer number (17997033600).

Almost surely, 2^{3140404397856} is an apocalyptic number.

3140404397856 is a gapful number since it is divisible by the number (36) 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 3140404397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183145676800).

3140404397856 is an abundant number, since it is smaller than the sum of its proper divisors (7225886955744).

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

3140404397856 is a wasteful number, since it uses less digits than its factorization.

3140404397856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3140404397856 in words is "three trillion, one hundred forty billion, four hundred four million, three hundred ninety-seven thousand, eight hundred fifty-six".