4240404000 has 768 divisors, whose sum is σ = 18114969600. Its totient is φ = 943488000.

The previous prime is 4240403989. The next prime is 4240404011. The reversal of 4240404000 is 4040424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4240403989) and next prime (4240404011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53675961 + ... + 53676039.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^4240404000 is an apocalyptic number.

4240404000 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 4240404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4240404000 is an abundant number, since it is smaller than the sum of its proper divisors (13874565600).

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

4240404000 is a wasteful number, since it uses less digits than its factorization.

4240404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4240404000 is about 65118.3845008458. The cubic root of 4240404000 is about 1618.5858715640.

Adding to 4240404000 its reverse (4040424), we get a palindrome (4244444424).

The spelling of 4240404000 in words is "four billion, two hundred forty million, four hundred four thousand".