10450322400 has 144 divisors (see below), whose sum is σ = 38875261824. Its totient is φ = 2388641280.

The previous prime is 10450322359. The next prime is 10450322419. The reversal of 10450322400 is 422305401.

10450322400 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 (21).

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 23 ways as a sum of consecutive naturals, for example, 294222 + ... + 327821.

It is an arithmetic number, because the mean of its divisors is an integer number (269967096).

Almost surely, 2^10450322400 is an apocalyptic number.

10450322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10450322400 is an abundant number, since it is smaller than the sum of its proper divisors (28424939424).

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

10450322400 is a wasteful number, since it uses less digits than its factorization.

10450322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622073 (or 622060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10450322400 its reverse (422305401), we get a palindrome (10872627801).

The spelling of 10450322400 in words is "ten billion, four hundred fifty million, three hundred twenty-two thousand, four hundred".