2731641443401 has 16 divisors (see below), whose sum is σ = 2944808567568. Its totient is φ = 2518909747200.

The previous prime is 2731641443359. The next prime is 2731641443407. The reversal of 2731641443401 is 1043441461372.

It can be written as a sum of positive squares in 8 ways, for example, as 326784865801 + 2404856577600 = 571651^2 + 1550760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731641443401 - 2¹³ = 2731641435209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2731641443407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74370721 + ... + 74407441.

It is an arithmetic number, because the mean of its divisors is an integer number (184050535473).

Almost surely, 2^{2731641443401} is an apocalyptic number.

It is an amenable number.

2731641443401 is a deficient number, since it is larger than the sum of its proper divisors (213167124167).

2731641443401 is a wasteful number, since it uses less digits than its factorization.

2731641443401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42492.

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 2731641443401 in words is "two trillion, seven hundred thirty-one billion, six hundred forty-one million, four hundred forty-three thousand, four hundred one".