644201271000441 has 96 divisors (see below), whose sum is σ = 1187152535162880. Its totient is φ = 326852869593600.

The previous prime is 644201271000439. The next prime is 644201271000457. The reversal of 644201271000441 is 144000172102446.

644201271000441 is a `hidden beast` number, since 6 + 4 + 4 + 201 + 2 + 7 + 1 + 0 + 0 + 0 + 441 = 666.

It is not a de Polignac number, because 644201271000441 - 2¹ = 644201271000439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 644201271000396 and 644201271000405.

It is not an unprimeable number, because it can be changed into a prime (644201271000461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683744080 + ... + 684685598.

It is an arithmetic number, because the mean of its divisors is an integer number (12366172241280).

Almost surely, 2^{644201271000441} is an apocalyptic number.

It is an amenable number.

644201271000441 is a deficient number, since it is larger than the sum of its proper divisors (542951264162439).

644201271000441 is a wasteful number, since it uses less digits than its factorization.

644201271000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964547 (or 964544 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 644201271000441 in words is "six hundred forty-four trillion, two hundred one billion, two hundred seventy-one million, four hundred forty-one", and thus it is an aban number.