340442322013440 has 216 divisors, whose sum is σ = 1179113102014848. Its totient is φ = 90690733486080.

The previous prime is 340442322013433. The next prime is 340442322013481. The reversal of 340442322013440 is 44310223244043.

340442322013440 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 4 + 2 + 3 + 2 + 201 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340442322013395 and 340442322013404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4140556 + ... + 26420235.

Almost surely, 2^{340442322013440} is an apocalyptic number.

340442322013440 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 340442322013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589556551007424).

340442322013440 is an abundant number, since it is smaller than the sum of its proper divisors (838670780001408).

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

340442322013440 is a wasteful number, since it uses less digits than its factorization.

340442322013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30561785 (or 30561768 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 340442322013440 its reverse (44310223244043), we get a palindrome (384752545257483).

The spelling of 340442322013440 in words is "three hundred forty trillion, four hundred forty-two billion, three hundred twenty-two million, thirteen thousand, four hundred forty".