3191097425040 has 320 divisors, whose sum is σ = 12578077094400. Its totient is φ = 728447440896.

The previous prime is 3191097425039. The next prime is 3191097425041. The reversal of 3191097425040 is 405247901913.

3191097425040 is a `hidden beast` number, since 3 + 1 + 9 + 10 + 97 + 42 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3191097425039) and next prime (3191097425041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3191097425041) by changing a digit.

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, 11551246 + ... + 11824274.

It is an arithmetic number, because the mean of its divisors is an integer number (39306490920).

Almost surely, 2^{3191097425040} is an apocalyptic number.

3191097425040 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 3191097425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289038547200).

3191097425040 is an abundant number, since it is smaller than the sum of its proper divisors (9386979669360).

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

3191097425040 is a wasteful number, since it uses less digits than its factorization.

3191097425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273831 (or 273819 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3191097425040 in words is "three trillion, one hundred ninety-one billion, ninety-seven million, four hundred twenty-five thousand, forty".