4334400340000 has 60 divisors (see below), whose sum is σ = 10663275045654. Its totient is φ = 1733760128000.

The previous prime is 4334400339991. The next prime is 4334400340003. The reversal of 4334400340000 is 430044334.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 825527824 + 4333574812176 = 28732^2 + 2081724^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4334400340003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 108340009 + ... + 108380008.

Almost surely, 2^{4334400340000} is an apocalyptic number.

4334400340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334400340000 is an abundant number, since it is smaller than the sum of its proper divisors (6328874705654).

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

4334400340000 is an equidigital number, since it uses as much as digits as its factorization.

4334400340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216720047 (or 216720024 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 4334400340000 its reverse (430044334), we get a palindrome (4334830384334).

The spelling of 4334400340000 in words is "four trillion, three hundred thirty-four billion, four hundred million, three hundred forty thousand".