10434099456 has 288 divisors, whose sum is σ = 34579574400. Its totient is φ = 3075563520.

The previous prime is 10434099427. The next prime is 10434099491. The reversal of 10434099456 is 65499043401.

10434099456 is a `hidden beast` number, since 104 + 3 + 4 + 0 + 99 + 456 = 666.

10434099456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2811330 + ... + 2815038.

Almost surely, 2^10434099456 is an apocalyptic number.

10434099456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289787200).

10434099456 is an abundant number, since it is smaller than the sum of its proper divisors (24145474944).

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

10434099456 is a wasteful number, since it uses less digits than its factorization.

10434099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10434099456 in words is "ten billion, four hundred thirty-four million, ninety-nine thousand, four hundred fifty-six".