4334414345000 has 40 divisors (see below), whose sum is σ = 10155532822050. Its totient is φ = 1733765736000.

The previous prime is 4334414344979. The next prime is 4334414345003. The reversal of 4334414345000 is 5434144334.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 49125176164 + 4285289168836 = 221642^2 + 2070094^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4334414345003) 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, 433436435 + ... + 433446434.

Almost surely, 2^{4334414345000} is an apocalyptic number.

4334414345000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334414345000 is an abundant number, since it is smaller than the sum of its proper divisors (5821118477050).

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

4334414345000 is an equidigital number, since it uses as much as digits as its factorization.

4334414345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866882895 (or 866882876 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 4334414345000 its reverse (5434144334), we get a palindrome (4339848489334).

The spelling of 4334414345000 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-five thousand".