4120424000 has 224 divisors, whose sum is σ = 12724058880. Its totient is φ = 1284096000.

The previous prime is 4120423991. The next prime is 4120424003. The reversal of 4120424000 is 4240214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4120424000.

It is not an unprimeable number, because it can be changed into a prime (4120424003) 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, 612656 + ... + 619344.

Almost surely, 2^4120424000 is an apocalyptic number.

4120424000 is a gapful number since it is divisible by the number (40) 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 4120424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362029440).

4120424000 is an abundant number, since it is smaller than the sum of its proper divisors (8603634880).

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

4120424000 is a wasteful number, since it uses less digits than its factorization.

4120424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6714 counting only the distinct ones).

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

The square root of 4120424000 is about 64190.5288964034. The cubic root of 4120424000 is about 1603.1739081122.

Adding to 4120424000 its reverse (4240214), we get a palindrome (4124664214).

The spelling of 4120424000 in words is "four billion, one hundred twenty million, four hundred twenty-four thousand".