1340166175488 has 432 divisors, whose sum is σ = 4518462312000. Its totient is φ = 381859430400.

The previous prime is 1340166175399. The next prime is 1340166175499. The reversal of 1340166175488 is 8845716610431.

1340166175488 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 16 + 617 + 5 + 4 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316896958 + ... + 316901186.

It is an arithmetic number, because the mean of its divisors is an integer number (10459403500).

Almost surely, 2^{1340166175488} is an apocalyptic number.

1340166175488 is a gapful number since it is divisible by the number (18) 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 1340166175488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259231156000).

1340166175488 is an abundant number, since it is smaller than the sum of its proper divisors (3178296136512).

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

1340166175488 is an equidigital number, since it uses as much as digits as its factorization.

1340166175488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1340166175488 in words is "one trillion, three hundred forty billion, one hundred sixty-six million, one hundred seventy-five thousand, four hundred eighty-eight".