10432734400 has 168 divisors, whose sum is σ = 28286872560. Its totient is φ = 3755520000.

The previous prime is 10432734383. The next prime is 10432734401. The reversal of 10432734400 is 443723401.

10432734400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10432734401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1774666 + ... + 1780534.

Almost surely, 2^10432734400 is an apocalyptic number.

10432734400 is a gapful number since it is divisible by the number (10) 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 10432734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143436280).

10432734400 is an abundant number, since it is smaller than the sum of its proper divisors (17854138160).

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

10432734400 is a wasteful number, since it uses less digits than its factorization.

10432734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 10432734400 in words is "ten billion, four hundred thirty-two million, seven hundred thirty-four thousand, four hundred".