10452335400 has 288 divisors, whose sum is σ = 37928119320. Its totient is φ = 2564352000.

The previous prime is 10452335389. The next prime is 10452335447. The reversal of 10452335400 is 453325401.

10452335400 is a `hidden beast` number, since 104 + 523 + 35 + 4 + 0 + 0 = 666.

10452335400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 507060324 + 9945275076 = 22518^2 + 99726^2 .

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 71 ways as a sum of consecutive naturals, for example, 9850870 + ... + 9851930.

Almost surely, 2^10452335400 is an apocalyptic number.

10452335400 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 10452335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964059660).

10452335400 is an abundant number, since it is smaller than the sum of its proper divisors (27475783920).

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

10452335400 is a wasteful number, since it uses less digits than its factorization.

10452335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Subtracting from 10452335400 its reverse (453325401), we obtain a palindrome (9999009999).

The spelling of 10452335400 in words is "ten billion, four hundred fifty-two million, three hundred thirty-five thousand, four hundred".