4003840000 has 300 divisors, whose sum is σ = 11055323664. Its totient is φ = 1441792000.

The previous prime is 4003839989. The next prime is 4003840007. The reversal of 4003840000 is 483004.

It is a self number, because there is not a number n which added to its sum of digits gives 4003840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003840007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174079989 + ... + 174080011.

Almost surely, 2^4003840000 is an apocalyptic number.

4003840000 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 4003840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527661832).

4003840000 is an abundant number, since it is smaller than the sum of its proper divisors (7051483664).

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

4003840000 is an frugal number, since it uses more digits than its factorization.

4003840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4003840000 is about 63275.9037865126. The cubic root of 4003840000 is about 1587.9088578416.

The spelling of 4003840000 in words is "four billion, three million, eight hundred forty thousand".