4414033133000 has 64 divisors (see below), whose sum is σ = 10333998904320. Its totient is φ = 1764730968000.

The previous prime is 4414033132997. The next prime is 4414033133051. The reversal of 4414033133000 is 3313304144.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 901145 + ... + 3104855.

It is an arithmetic number, because the mean of its divisors is an integer number (161468732880).

Almost surely, 2^{4414033133000} is an apocalyptic number.

4414033133000 is a gapful number since it is divisible by the number (40) 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 4414033133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166999452160).

4414033133000 is an abundant number, since it is smaller than the sum of its proper divisors (5919965771320).

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

4414033133000 is a wasteful number, since it uses less digits than its factorization.

4414033133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205735 (or 2205721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4414033133000 its reverse (3313304144), we get a palindrome (4417346437144).

The spelling of 4414033133000 in words is "four trillion, four hundred fourteen billion, thirty-three million, one hundred thirty-three thousand".