7286712134401 has 128 divisors (see below), whose sum is σ = 9304326144000. Its totient is φ = 5563579392000.

The previous prime is 7286712134399. The next prime is 7286712134417. The reversal of 7286712134401 is 1044312176827.

It is not a de Polignac number, because 7286712134401 - 2¹ = 7286712134399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7286712134201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17815921885 + ... + 17815922293.

It is an arithmetic number, because the mean of its divisors is an integer number (72690048000).

Almost surely, 2^{7286712134401} is an apocalyptic number.

It is an amenable number.

7286712134401 is a deficient number, since it is larger than the sum of its proper divisors (2017614009599).

7286712134401 is a wasteful number, since it uses less digits than its factorization.

7286712134401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 7286712134401 in words is "seven trillion, two hundred eighty-six billion, seven hundred twelve million, one hundred thirty-four thousand, four hundred one".