4010224000 has 128 divisors (see below), whose sum is σ = 10018831680. Its totient is φ = 1596313600.

The previous prime is 4010223901. The next prime is 4010224039. The reversal of 4010224000 is 4220104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207524 + ... + 4208476.

Almost surely, 2^4010224000 is an apocalyptic number.

4010224000 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 4010224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009415840).

4010224000 is an abundant number, since it is smaller than the sum of its proper divisors (6008607680).

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

4010224000 is an equidigital number, since it uses as much as digits as its factorization.

4010224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4010224000 is about 63326.3294372886. The cubic root of 4010224000 is about 1588.7523669972.

Adding to 4010224000 its reverse (4220104), we get a palindrome (4014444104).

The spelling of 4010224000 in words is "four billion, ten million, two hundred twenty-four thousand".