4002504000 has 224 divisors, whose sum is σ = 14418698112. Its totient is φ = 970240000.

The previous prime is 4002503983. The next prime is 4002504001. The reversal of 4002504000 is 4052004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002504001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256420 + ... + 271580.

It is an arithmetic number, because the mean of its divisors is an integer number (64369188).

Almost surely, 2^4002504000 is an apocalyptic number.

4002504000 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 4002504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209349056).

4002504000 is an abundant number, since it is smaller than the sum of its proper divisors (10416194112).

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

4002504000 is a wasteful number, since it uses less digits than its factorization.

4002504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4002504000 is about 63265.3459644378. The cubic root of 4002504000 is about 1587.7322205601.

Adding to 4002504000 its reverse (4052004), we get a palindrome (4006556004).

The spelling of 4002504000 in words is "four billion, two million, five hundred four thousand".