2004434143400 has 192 divisors, whose sum is σ = 5050347382080. Its totient is φ = 735459840000.

The previous prime is 2004434143399. The next prime is 2004434143421. The reversal of 2004434143400 is 43414344002.

It is a happy number.

It is a super-3 number, since 3×2004434143400³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304760912 + ... + 304767488.

It is an arithmetic number, because the mean of its divisors is an integer number (26303892615).

Almost surely, 2^{2004434143400} is an apocalyptic number.

2004434143400 is a gapful number since it is divisible by the number (20) 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 2004434143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525173691040).

2004434143400 is an abundant number, since it is smaller than the sum of its proper divisors (3045913238680).

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

2004434143400 is a wasteful number, since it uses less digits than its factorization.

2004434143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2004434143400 its reverse (43414344002), we get a palindrome (2047848487402).

The spelling of 2004434143400 in words is "two trillion, four billion, four hundred thirty-four million, one hundred forty-three thousand, four hundred".