10400200200401 has 8 divisors (see below), whose sum is σ = 11346710253600. Its totient is φ = 9453863031840.

The previous prime is 10400200200359. The next prime is 10400200200413.

10400200200401 is nontrivially palindromic in base 10.

10400200200401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400200200401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10400200200431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43095356 + ... + 43336013.

It is an arithmetic number, because the mean of its divisors is an integer number (1418338781700).

Almost surely, 2^{10400200200401} is an apocalyptic number.

10400200200401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400200200401 is a deficient number, since it is larger than the sum of its proper divisors (946510053199).

10400200200401 is a wasteful number, since it uses less digits than its factorization.

10400200200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86442319.

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 10400200 and 200401, that added together give a palindrome (10600601).

The spelling of 10400200200401 in words is "ten trillion, four hundred billion, two hundred million, two hundred thousand, four hundred one".