4430342004000 has 192 divisors, whose sum is σ = 15833237277312. Its totient is φ = 1074022272000.

The previous prime is 4430342003987. The next prime is 4430342004013. The reversal of 4430342004000 is 4002430344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4430342003987) and next prime (4430342004013).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16649599 + ... + 16913598.

It is an arithmetic number, because the mean of its divisors is an integer number (82464777486).

Almost surely, 2^{4430342004000} is an apocalyptic number.

4430342004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430342004000 is an abundant number, since it is smaller than the sum of its proper divisors (11402895273312).

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

4430342004000 is a wasteful number, since it uses less digits than its factorization.

4430342004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33563236 (or 33563218 counting only the distinct ones).

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

Adding to 4430342004000 its reverse (4002430344), we get a palindrome (4434344434344).

The spelling of 4430342004000 in words is "four trillion, four hundred thirty billion, three hundred forty-two million, four thousand".