4024000000 has 140 divisors (see below), whose sum is σ = 10070027352. Its totient is φ = 1606400000.

The previous prime is 4023999971. The next prime is 4024000003. The reversal of 4024000000 is 4204.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999749 + ... + 8000251.

Almost surely, 2^4024000000 is an apocalyptic number.

4024000000 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 4024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035013676).

4024000000 is an abundant number, since it is smaller than the sum of its proper divisors (6046027352).

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

4024000000 is an frugal number, since it uses more digits than its factorization.

4024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4024000000 is about 63435.0061086148. The cubic root of 4024000000 is about 1590.5695255490.

Adding to 4024000000 its reverse (4204), we get a palindrome (4024004204).

The spelling of 4024000000 in words is "four billion, twenty-four million", and thus it is an aban number.