4204134000320 has 224 divisors, whose sum is σ = 10330496179200. Its totient is φ = 1628924903424.

The previous prime is 4204134000301. The next prime is 4204134000383. The reversal of 4204134000320 is 230004314024.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 815858864 + ... + 815864016.

Almost surely, 2^{4204134000320} is an apocalyptic number.

4204134000320 is a gapful number since it is divisible by the number (40) 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 4204134000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165248089600).

4204134000320 is an abundant number, since it is smaller than the sum of its proper divisors (6126362178880).

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

4204134000320 is a wasteful number, since it uses less digits than its factorization.

4204134000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4204134000320 its reverse (230004314024), we get a palindrome (4434138314344).

The spelling of 4204134000320 in words is "four trillion, two hundred four billion, one hundred thirty-four million, three hundred twenty", and thus it is an aban number.