10400034114 has 48 divisors (see below), whose sum is σ = 23327249400. Its totient is φ = 3344721408.

The previous prime is 10400034097. The next prime is 10400034173. The reversal of 10400034114 is 41143000401.

It can be written as a sum of positive squares in 4 ways, for example, as 8358530625 + 2041503489 = 91425^2 + 45183^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804252 + ... + 817080.

Almost surely, 2^10400034114 is an apocalyptic number.

10400034114 is an abundant number, since it is smaller than the sum of its proper divisors (12927215286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400034114 is a wasteful number, since it uses less digits than its factorization.

10400034114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10400034114 its reverse (41143000401), we get a palindrome (51543034515).

The spelling of 10400034114 in words is "ten billion, four hundred million, thirty-four thousand, one hundred fourteen".