844470940401 has 27 divisors (see below), whose sum is σ = 1340810551353. Its totient is φ = 511782190920.

The previous prime is 844470940393. The next prime is 844470940403. The reversal of 844470940401 is 104049074448.

The square root of 844470940401 is 918951.

It is a perfect power (a square), and thus also a powerful number.

844470940401 is a `hidden beast` number, since 84 + 447 + 0 + 94 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 844470940401 - 2³ = 844470940393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (844470940403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30311460 + ... + 30339306.

Almost surely, 2^844470940401 is an apocalyptic number.

844470940401 is the 918951-st square number.

844470940401 is the 459476-th centered octagonal number.

It is an amenable number.

844470940401 is a deficient number, since it is larger than the sum of its proper divisors (496339610952).

844470940401 is an frugal number, since it uses more digits than its factorization.

844470940401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55722 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 844470 and 940401, that added together give a palindrome (1784871).

The spelling of 844470940401 in words is "eight hundred forty-four billion, four hundred seventy million, nine hundred forty thousand, four hundred one".