10434004400 has 60 divisors (see below), whose sum is σ = 25078063800. Its totient is φ = 4171875840.

The previous prime is 10434004393. The next prime is 10434004421. The reversal of 10434004400 is 440043401.

10434004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460036 + ... + 1467164.

It is an arithmetic number, because the mean of its divisors is an integer number (417967730).

Almost surely, 2^10434004400 is an apocalyptic number.

10434004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434004400 is an abundant number, since it is smaller than the sum of its proper divisors (14644059400).

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

10434004400 is a wasteful number, since it uses less digits than its factorization.

10434004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10434004400 its reverse (440043401), we get a palindrome (10874047801).

The spelling of 10434004400 in words is "ten billion, four hundred thirty-four million, four thousand, four hundred".