10432441400 has 48 divisors (see below), whose sum is σ = 24288073440. Its totient is φ = 4167360000.

The previous prime is 10432441379. The next prime is 10432441421. The reversal of 10432441400 is 414423401.

It is a happy number.

10432441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10432441379) and next prime (10432441421).

It is a super-3 number, since 3×10432441400³ (a number of 31 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 115472 + ... + 184928.

It is an arithmetic number, because the mean of its divisors is an integer number (506001530).

Almost surely, 2^10432441400 is an apocalyptic number.

10432441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432441400 is an abundant number, since it is smaller than the sum of its proper divisors (13855632040).

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

10432441400 is a wasteful number, since it uses less digits than its factorization.

10432441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70224 (or 70215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10432441400 its reverse (414423401), we get a palindrome (10846864801).

The spelling of 10432441400 in words is "ten billion, four hundred thirty-two million, four hundred forty-one thousand, four hundred".