444034133101041 has 32 divisors (see below), whose sum is σ = 676804148748288. Its totient is φ = 253666030484160.

The previous prime is 444034133100959. The next prime is 444034133101081. The reversal of 444034133101041 is 140101331430444.

It is not a de Polignac number, because 444034133101041 - 2³³ = 444025543166449 is a prime.

It is a super-2 number, since 2×444034133101041² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444034133100993 and 444034133101011.

It is not an unprimeable number, because it can be changed into a prime (444034133101081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2161457256 + ... + 2161662678.

It is an arithmetic number, because the mean of its divisors is an integer number (21150129648384).

Almost surely, 2^{444034133101041} is an apocalyptic number.

It is an amenable number.

444034133101041 is a deficient number, since it is larger than the sum of its proper divisors (232770015647247).

444034133101041 is a wasteful number, since it uses less digits than its factorization.

444034133101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232421.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 444034133101041 its reverse (140101331430444), we get a palindrome (584135464531485).

The spelling of 444034133101041 in words is "four hundred forty-four trillion, thirty-four billion, one hundred thirty-three million, one hundred one thousand, forty-one".