10004442033334 has 32 divisors (see below), whose sum is σ = 17449172522496. Its totient is φ = 4213578432960.

The previous prime is 10004442033283. The next prime is 10004442033373. The reversal of 10004442033334 is 43333024440001.

It is a junction number, because it is equal to n+sod(n) for n = 10004442033296 and 10004442033305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26291607 + ... + 26669410.

It is an arithmetic number, because the mean of its divisors is an integer number (545286641328).

Almost surely, 2^{10004442033334} is an apocalyptic number.

10004442033334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10004442033334 is a deficient number, since it is larger than the sum of its proper divisors (7444730489162).

10004442033334 is a wasteful number, since it uses less digits than its factorization.

10004442033334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52961260.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 10004442033334 its reverse (43333024440001), we get a palindrome (53337466473335).

The spelling of 10004442033334 in words is "ten trillion, four billion, four hundred forty-two million, thirty-three thousand, three hundred thirty-four".