10201400405 has 24 divisors (see below), whose sum is σ = 14295820248. Its totient is φ = 6967984128.

The previous prime is 10201400401. The next prime is 10201400467. The reversal of 10201400405 is 50400410201.

It can be written as a sum of positive squares in 4 ways, for example, as 2334242596 + 7867157809 = 48314^2 + 88697^2 .

It is not a de Polignac number, because 10201400405 - 2² = 10201400401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18044 + ... + 143973.

It is an arithmetic number, because the mean of its divisors is an integer number (595659177).

Almost surely, 2^10201400405 is an apocalyptic number.

It is an amenable number.

10201400405 is a deficient number, since it is larger than the sum of its proper divisors (4094419843).

10201400405 is a wasteful number, since it uses less digits than its factorization.

10201400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162293 (or 162286 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10201400405 its reverse (50400410201), we get a palindrome (60601810606).

The spelling of 10201400405 in words is "ten billion, two hundred one million, four hundred thousand, four hundred five".