4471960319401 has 9 divisors (see below), whose sum is σ = 4495661454501. Its totient is φ = 4448383517952.

The previous prime is 4471960319383. The next prime is 4471960319473. The reversal of 4471960319401 is 1049130691744.

The square root of 4471960319401 is 2114701.

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

It can be written as a sum of positive squares in 4 ways, for example, as 95914709401 + 4376045610000 = 309701^2 + 2091900^2 .

It is not a de Polignac number, because 4471960319401 - 2⁵ = 4471960319369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4471960319201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 408131815 + ... + 408142771.

It is an arithmetic number, because the mean of its divisors is an integer number (499517939389).

Almost surely, 2^{4471960319401} is an apocalyptic number.

4471960319401 is the 2114701-st square number.

4471960319401 is the 1057351-st centered octagonal number.

It is an amenable number.

4471960319401 is a deficient number, since it is larger than the sum of its proper divisors (23701135100).

4471960319401 is an frugal number, since it uses more digits than its factorization.

4471960319401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 4471960319401 by its sum of digits (49), we get a square (219126055650649 = 14802907²).

The spelling of 4471960319401 in words is "four trillion, four hundred seventy-one billion, nine hundred sixty million, three hundred nineteen thousand, four hundred one".