2801201395041 has 27 divisors (see below), whose sum is σ = 4706839633041. Its totient is φ = 1600666427304.

The previous prime is 2801201395019. The next prime is 2801201395061. The reversal of 2801201395041 is 1405931021082.

The square root of 2801201395041 is 1673679.

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

2801201395041 is a `hidden beast` number, since 2 + 8 + 0 + 12 + 0 + 139 + 504 + 1 = 666.

It is not a de Polignac number, because 2801201395041 - 2²⁹ = 2800664524129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2801201394987 and 2801201395005.

It is not an unprimeable number, because it can be changed into a prime (2801201395001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35107410 + ... + 35187108.

Almost surely, 2^{2801201395041} is an apocalyptic number.

2801201395041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2801201395041 is the 1673679-th square number.

2801201395041 is the 836840-th centered octagonal number.

It is an amenable number.

2801201395041 is a deficient number, since it is larger than the sum of its proper divisors (1905638238000).

2801201395041 is an frugal number, since it uses more digits than its factorization.

2801201395041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159418 (or 79709 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 2801201395041 by its sum of digits (36), we get a square (100843250221476 = 10042074²).

The spelling of 2801201395041 in words is "two trillion, eight hundred one billion, two hundred one million, three hundred ninety-five thousand, forty-one".