36404258401 has 27 divisors (see below), whose sum is σ = 42941702457. Its totient is φ = 30772062720.

The previous prime is 36404258377. The next prime is 36404258413. The reversal of 36404258401 is 10485240463.

The square root of 36404258401 is 190799.

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 598536225 + 35805722176 = 24465^2 + 189224^2 .

It is not a de Polignac number, because 36404258401 - 2⁵ = 36404258369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36404258431) 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, 129552381 + ... + 129552661.

Almost surely, 2^36404258401 is an apocalyptic number.

36404258401 is the 190799-th square number.

36404258401 is the 95400-th centered octagonal number.

It is an amenable number.

36404258401 is a deficient number, since it is larger than the sum of its proper divisors (6537444056).

36404258401 is an frugal number, since it uses more digits than its factorization.

36404258401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 36404258401 its reverse (10485240463), we get a palindrome (46889498864).

The spelling of 36404258401 in words is "thirty-six billion, four hundred four million, two hundred fifty-eight thousand, four hundred one".