1342991176704 has 440 divisors, whose sum is σ = 4160101314600. Its totient is φ = 431043379200.

The previous prime is 1342991176577. The next prime is 1342991176759. The reversal of 1342991176704 is 4076711992431.

It can be written as a sum of positive squares in 4 ways, for example, as 94962585600 + 1248028591104 = 308160^2 + 1117152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1445630512 + ... + 1445631440.

It is an arithmetic number, because the mean of its divisors is an integer number (9454775715).

Almost surely, 2^{1342991176704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342991176704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080050657300).

1342991176704 is an abundant number, since it is smaller than the sum of its proper divisors (2817110137896).

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

1342991176704 is an equidigital number, since it uses as much as digits as its factorization.

1342991176704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1342991176704 in words is "one trillion, three hundred forty-two billion, nine hundred ninety-one million, one hundred seventy-six thousand, seven hundred four".