10400002134223 has 24 divisors (see below), whose sum is σ = 11280790512000. Its totient is φ = 9583603290144.

The previous prime is 10400002134209. The next prime is 10400002134227. The reversal of 10400002134223 is 32243120000401.

It is not a de Polignac number, because 10400002134223 - 2⁹ = 10400002133711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400002134194 and 10400002134203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400002134227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327038478 + ... + 327070276.

It is an arithmetic number, because the mean of its divisors is an integer number (470032938000).

Almost surely, 2^{10400002134223} is an apocalyptic number.

10400002134223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10400002134223 is a deficient number, since it is larger than the sum of its proper divisors (880788377777).

10400002134223 is a wasteful number, since it uses less digits than its factorization.

10400002134223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35071 (or 35058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10400002134223 its reverse (32243120000401), we get a palindrome (42643122134624).

The spelling of 10400002134223 in words is "ten trillion, four hundred billion, two million, one hundred thirty-four thousand, two hundred twenty-three".