10223032030400 has 336 divisors, whose sum is σ = 29521909334016. Its totient is φ = 3411803566080.

The previous prime is 10223032030349. The next prime is 10223032030439. The reversal of 10223032030400 is 403023032201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 75319397 + ... + 75455003.

Almost surely, 2^{10223032030400} is an apocalyptic number.

10223032030400 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 10223032030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760954667008).

10223032030400 is an abundant number, since it is smaller than the sum of its proper divisors (19298877303616).

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

10223032030400 is a wasteful number, since it uses less digits than its factorization.

10223032030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135816 (or 135801 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10223032030400 its reverse (403023032201), we get a palindrome (10626055062601).

The spelling of 10223032030400 in words is "ten trillion, two hundred twenty-three billion, thirty-two million, thirty thousand, four hundred".