340013320004020 has 96 divisors (see below), whose sum is σ = 772361112595968. Its totient is φ = 124987015237632.

The previous prime is 340013320004011. The next prime is 340013320004027. The reversal of 340013320004020 is 20400023310043.

It is a happy number.

It is a super-2 number, since 2×340013320004020² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340013320003982 and 340013320004000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340013320004027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053864804 + ... + 4053948676.

It is an arithmetic number, because the mean of its divisors is an integer number (8045428256208).

Almost surely, 2^{340013320004020} 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 340013320004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386180556297984).

340013320004020 is an abundant number, since it is smaller than the sum of its proper divisors (432347792591948).

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

340013320004020 is a wasteful number, since it uses less digits than its factorization.

340013320004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152809 (or 152807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 340013320004020 its reverse (20400023310043), we get a palindrome (360413343314063).

The spelling of 340013320004020 in words is "three hundred forty trillion, thirteen billion, three hundred twenty million, four thousand, twenty".