4000224240600 has 288 divisors, whose sum is σ = 14568133986000. Its totient is φ = 905283456000.

The previous prime is 4000224240589. The next prime is 4000224240631. The reversal of 4000224240600 is 60424220004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2295826 + ... + 3642974.

Almost surely, 2^{4000224240600} is an apocalyptic number.

4000224240600 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 4000224240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284066993000).

4000224240600 is an abundant number, since it is smaller than the sum of its proper divisors (10567909745400).

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

4000224240600 is a wasteful number, since it uses less digits than its factorization.

4000224240600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347283 (or 1347267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4000224240600 its reverse (60424220004), we get a palindrome (4060648460604).

The spelling of 4000224240600 in words is "four trillion, two hundred twenty-four million, two hundred forty thousand, six hundred".