340000041014040 has 256 divisors, whose sum is σ = 1132220182464000. Its totient is φ = 80981906042880.

The previous prime is 340000041014017. The next prime is 340000041014071. The reversal of 340000041014040 is 40410140000043.

It is a junction number, because it is equal to n+sod(n) for n = 340000041013998 and 340000041014016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138107172 + ... + 140547468.

It is an arithmetic number, because the mean of its divisors is an integer number (4422735087750).

Almost surely, 2^{340000041014040} is an apocalyptic number.

340000041014040 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 340000041014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566110091232000).

340000041014040 is an abundant number, since it is smaller than the sum of its proper divisors (792220141449960).

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

340000041014040 is a wasteful number, since it uses less digits than its factorization.

340000041014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442170 (or 2442166 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 340000041014040 its reverse (40410140000043), we get a palindrome (380410181014083).

The spelling of 340000041014040 in words is "three hundred forty trillion, forty-one million, fourteen thousand, forty".