10424024000 has 224 divisors, whose sum is σ = 28078517376. Its totient is φ = 3810508800.

The previous prime is 10424023999. The next prime is 10424024003. The reversal of 10424024000 is 42042401.

It is a self number, because there is not a number n which added to its sum of digits gives 10424024000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424024003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11751557 + ... + 11752443.

It is an arithmetic number, because the mean of its divisors is an integer number (125350524).

Almost surely, 2^10424024000 is an apocalyptic number.

10424024000 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 10424024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039258688).

10424024000 is an abundant number, since it is smaller than the sum of its proper divisors (17654493376).

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

10424024000 is a wasteful number, since it uses less digits than its factorization.

10424024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10424024000 its reverse (42042401), we get a palindrome (10466066401).

The spelling of 10424024000 in words is "ten billion, four hundred twenty-four million, twenty-four thousand".