4009824000 has 1440 divisors, whose sum is σ = 19445602176. Its totient is φ = 796262400.

The previous prime is 4009823989. The next prime is 4009824019. The reversal of 4009824000 is 4289004.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235871992 + ... + 235872008.

Almost surely, 2^4009824000 is an apocalyptic number.

4009824000 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 4009824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722801088).

4009824000 is an abundant number, since it is smaller than the sum of its proper divisors (15435778176).

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

4009824000 is a wasteful number, since it uses less digits than its factorization.

4009824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4009824000 is about 63323.1711145296. The cubic root of 4009824000 is about 1588.6995418452.

The spelling of 4009824000 in words is "four billion, nine million, eight hundred twenty-four thousand".