444340414557 has 32 divisors (see below), whose sum is σ = 739741766400. Its totient is φ = 261551543616.

The previous prime is 444340414537. The next prime is 444340414577. The reversal of 444340414557 is 755414043444.

444340414557 is a `hidden beast` number, since 4 + 4 + 43 + 40 + 4 + 14 + 557 = 666.

It is an interprime number because it is at equal distance from previous prime (444340414537) and next prime (444340414577).

It is not a de Polignac number, because 444340414557 - 2¹⁰ = 444340413533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444340414537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27512082 + ... + 27528227.

It is an arithmetic number, because the mean of its divisors is an integer number (23116930200).

Almost surely, 2^444340414557 is an apocalyptic number.

It is an amenable number.

444340414557 is a deficient number, since it is larger than the sum of its proper divisors (295401351843).

444340414557 is a wasteful number, since it uses less digits than its factorization.

444340414557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55040354 (or 55040348 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 444340414557 in words is "four hundred forty-four billion, three hundred forty million, four hundred fourteen thousand, five hundred fifty-seven".