26413413201 has 60 divisors (see below), whose sum is σ = 45935923572. Its totient is φ = 15081256512.

The previous prime is 26413413199. The next prime is 26413413251. The reversal of 26413413201 is 10231431462.

It is a happy number.

26413413201 is a `hidden beast` number, since 2 + 6 + 41 + 3 + 413 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18091595025 + 8321818176 = 134505^2 + 91224^2 .

It is not a de Polignac number, because 26413413201 - 2¹ = 26413413199 is a prime.

It is a super-2 number, since 2×26413413201² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26413413251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7829151 + ... + 7832523.

Almost surely, 2^26413413201 is an apocalyptic number.

26413413201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26413413201 is a deficient number, since it is larger than the sum of its proper divisors (19522510371).

26413413201 is a wasteful number, since it uses less digits than its factorization.

26413413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 26413413201 its reverse (10231431462), we get a palindrome (36644844663).

The spelling of 26413413201 in words is "twenty-six billion, four hundred thirteen million, four hundred thirteen thousand, two hundred one".