10324254400 has 84 divisors (see below), whose sum is σ = 25428705048. Its totient is φ = 4125706240.

The previous prime is 10324254397. The next prime is 10324254401. The reversal of 10324254400 is 445242301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10324254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2088732 + ... + 2093668.

Almost surely, 2^10324254400 is an apocalyptic number.

10324254400 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 10324254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714352524).

10324254400 is an abundant number, since it is smaller than the sum of its proper divisors (15104450648).

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

10324254400 is a wasteful number, since it uses less digits than its factorization.

10324254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10324254400 its reverse (445242301), we get a palindrome (10769496701).

The spelling of 10324254400 in words is "ten billion, three hundred twenty-four million, two hundred fifty-four thousand, four hundred".