340413430314420 has 384 divisors, whose sum is σ = 1160908713216000. Its totient is φ = 82473808379904.

The previous prime is 340413430314379. The next prime is 340413430314431. The reversal of 340413430314420 is 24413034314043.

340413430314420 is a `hidden beast` number, since 3 + 40 + 4 + 134 + 30 + 31 + 4 + 420 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26092606 + ... + 36900554.

It is an arithmetic number, because the mean of its divisors is an integer number (3023199774000).

Almost surely, 2^{340413430314420} is an apocalyptic number.

340413430314420 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 340413430314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580454356608000).

340413430314420 is an abundant number, since it is smaller than the sum of its proper divisors (820495282901580).

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

340413430314420 is a wasteful number, since it uses less digits than its factorization.

340413430314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808104 (or 10808096 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 340413430314420 its reverse (24413034314043), we get a palindrome (364826464628463).

The spelling of 340413430314420 in words is "three hundred forty trillion, four hundred thirteen billion, four hundred thirty million, three hundred fourteen thousand, four hundred twenty".