4001224000 has 56 divisors (see below), whose sum is σ = 9909051048. Its totient is φ = 1600486400.

The previous prime is 4001223983. The next prime is 4001224001. The reversal of 4001224000 is 4221004.

It can be written as a sum of positive squares in 4 ways, for example, as 821166336 + 3180057664 = 28656^2 + 56392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001224001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242077 + ... + 258076.

Almost surely, 2^4001224000 is an apocalyptic number.

4001224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001224000 is an abundant number, since it is smaller than the sum of its proper divisors (5907827048).

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

4001224000 is an equidigital number, since it uses as much as digits as its factorization.

4001224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500180 (or 500160 counting only the distinct ones).

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

The square root of 4001224000 is about 63255.2290328634. The cubic root of 4001224000 is about 1587.5629503630.

Adding to 4001224000 its reverse (4221004), we get a palindrome (4005445004).

The spelling of 4001224000 in words is "four billion, one million, two hundred twenty-four thousand".