441164431041357 has 16 divisors (see below), whose sum is σ = 613294023075840. Its totient is φ = 281731941836352.

The previous prime is 441164431041331. The next prime is 441164431041361. The reversal of 441164431041357 is 753140134461144.

It is not a de Polignac number, because 441164431041357 - 2⁸ = 441164431041101 is a prime.

It is a super-3 number, since 3×441164431041357³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441164431041377) 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 15 ways as a sum of consecutive naturals, for example, 19963987098 + ... + 19964009195.

It is an arithmetic number, because the mean of its divisors is an integer number (38330876442240).

Almost surely, 2^{441164431041357} is an apocalyptic number.

It is an amenable number.

441164431041357 is a deficient number, since it is larger than the sum of its proper divisors (172129592034483).

441164431041357 is a wasteful number, since it uses less digits than its factorization.

441164431041357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39927996452.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 441164431041357 in words is "four hundred forty-one trillion, one hundred sixty-four billion, four hundred thirty-one million, forty-one thousand, three hundred fifty-seven".