10400434671 has 16 divisors (see below), whose sum is σ = 15137059968. Its totient is φ = 6299479200.

The previous prime is 10400434631. The next prime is 10400434697. The reversal of 10400434671 is 17643400401.

It is not a de Polignac number, because 10400434671 - 2⁹ = 10400434159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400434601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39520 + ... + 149541.

It is an arithmetic number, because the mean of its divisors is an integer number (946066248).

Almost surely, 2^10400434671 is an apocalyptic number.

10400434671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10400434671 is a deficient number, since it is larger than the sum of its proper divisors (4736625297).

10400434671 is a wasteful number, since it uses less digits than its factorization.

10400434671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190742.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10400434671 in words is "ten billion, four hundred million, four hundred thirty-four thousand, six hundred seventy-one".