10321334400 has 384 divisors, whose sum is σ = 36887639040. Its totient is φ = 2521497600.

The previous prime is 10321334393. The next prime is 10321334411. The reversal of 10321334400 is 443312301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23836584 + ... + 23837016.

It is an arithmetic number, because the mean of its divisors is an integer number (96061560).

Almost surely, 2^10321334400 is an apocalyptic number.

10321334400 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 10321334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443819520).

10321334400 is an abundant number, since it is smaller than the sum of its proper divisors (26566304640).

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

10321334400 is a wasteful number, since it uses less digits than its factorization.

10321334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10321334400 its reverse (443312301), we get a palindrome (10764646701).

The spelling of 10321334400 in words is "ten billion, three hundred twenty-one million, three hundred thirty-four thousand, four hundred".