4442133241400 has 48 divisors (see below), whose sum is σ = 10334905979040. Its totient is φ = 1775658252800.

The previous prime is 4442133241393. The next prime is 4442133241439. The reversal of 4442133241400 is 41423312444.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7170881 + ... + 7765680.

It is an arithmetic number, because the mean of its divisors is an integer number (215310541230).

Almost surely, 2^{4442133241400} is an apocalyptic number.

4442133241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442133241400 is an abundant number, since it is smaller than the sum of its proper divisors (5892772737640).

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

4442133241400 is a wasteful number, since it uses less digits than its factorization.

4442133241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938064 (or 14938055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4442133241400 its reverse (41423312444), we get a palindrome (4483556553844).

The spelling of 4442133241400 in words is "four trillion, four hundred forty-two billion, one hundred thirty-three million, two hundred forty-one thousand, four hundred".