10322321400 has 384 divisors, whose sum is σ = 36560160000. Its totient is φ = 2675980800.

The previous prime is 10322321377. The next prime is 10322321413. The reversal of 10322321400 is 412322301.

10322321400 is a `hidden beast` number, since 1 + 0 + 32 + 232 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57029310 + ... + 57029490.

It is an arithmetic number, because the mean of its divisors is an integer number (95208750).

Almost surely, 2^10322321400 is an apocalyptic number.

10322321400 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 10322321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080000).

10322321400 is an abundant number, since it is smaller than the sum of its proper divisors (26237838600).

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

10322321400 is a wasteful number, since it uses less digits than its factorization.

10322321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10322321400 its reverse (412322301), we get a palindrome (10734643701).

Subtracting from 10322321400 its reverse (412322301), we obtain a palindrome (9909999099).

The spelling of 10322321400 in words is "ten billion, three hundred twenty-two million, three hundred twenty-one thousand, four hundred".