10022324400 has 600 divisors, whose sum is σ = 39969035568. Its totient is φ = 2384640000.

The previous prime is 10022324363. The next prime is 10022324413. The reversal of 10022324400 is 442322001.

10022324400 is a `hidden beast` number, since 1 + 0 + 0 + 223 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21740170 + ... + 21740630.

Almost surely, 2^10022324400 is an apocalyptic number.

10022324400 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 10022324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984517784).

10022324400 is an abundant number, since it is smaller than the sum of its proper divisors (29946711168).

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

10022324400 is a wasteful number, since it uses less digits than its factorization.

10022324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10022324400 its reverse (442322001), we get a palindrome (10464646401).

The spelling of 10022324400 in words is "ten billion, twenty-two million, three hundred twenty-four thousand, four hundred".