4144330404200 has 48 divisors (see below), whose sum is σ = 11012077934880. Its totient is φ = 1420913280960.

The previous prime is 4144330404167. The next prime is 4144330404233. The reversal of 4144330404200 is 24040334414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4144330404167) and next prime (4144330404233).

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 11 ways as a sum of consecutive naturals, for example, 1480116602 + ... + 1480119401.

It is an arithmetic number, because the mean of its divisors is an integer number (229418290310).

Almost surely, 2^{4144330404200} is an apocalyptic number.

4144330404200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144330404200 is an abundant number, since it is smaller than the sum of its proper divisors (6867747530680).

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

4144330404200 is a wasteful number, since it uses less digits than its factorization.

4144330404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960236026 (or 2960236017 counting only the distinct ones).

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

Adding to 4144330404200 its reverse (24040334414), we get a palindrome (4168370738614).

The spelling of 4144330404200 in words is "four trillion, one hundred forty-four billion, three hundred thirty million, four hundred four thousand, two hundred".