340101040031440 has 80 divisors (see below), whose sum is σ = 810134055133200. Its totient is φ = 132703855165440.

The previous prime is 340101040031387. The next prime is 340101040031461. The reversal of 340101040031440 is 44130040101043.

It can be written as a sum of positive squares in 8 ways, for example, as 2137525872784 + 337963514158656 = 1462028^2 + 18383784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16316836 + ... + 30764284.

It is an arithmetic number, because the mean of its divisors is an integer number (10126675689165).

Almost surely, 2^{340101040031440} 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 340101040031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405067027566600).

340101040031440 is an abundant number, since it is smaller than the sum of its proper divisors (470033015101760).

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

340101040031440 is a wasteful number, since it uses less digits than its factorization.

340101040031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454680 (or 14454674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 340101040031440 its reverse (44130040101043), we get a palindrome (384231080132483).

The spelling of 340101040031440 in words is "three hundred forty trillion, one hundred one billion, forty million, thirty-one thousand, four hundred forty".