340004203404000 has 768 divisors, whose sum is σ = 1176047979724800. Its totient is φ = 85751737344000.

The previous prime is 340004203403959. The next prime is 340004203404001. The reversal of 340004203404000 is 404302400043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340004203404001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3491435310 + ... + 3491532690.

It is an arithmetic number, because the mean of its divisors is an integer number (1531312473600).

Almost surely, 2^{340004203404000} is an apocalyptic number.

340004203404000 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 340004203404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588023989862400).

340004203404000 is an abundant number, since it is smaller than the sum of its proper divisors (836043776320800).

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

340004203404000 is a wasteful number, since it uses less digits than its factorization.

340004203404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97644 (or 97626 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 340004203404000 its reverse (404302400043), we get a palindrome (340408505804043).

The spelling of 340004203404000 in words is "three hundred forty trillion, four billion, two hundred three million, four hundred four thousand".