4005876800 has 168 divisors, whose sum is σ = 10102656960. Its totient is φ = 1562982400.

The previous prime is 4005876769. The next prime is 4005876827. The reversal of 4005876800 is 86785004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20334302 + ... + 20334498.

Almost surely, 2^4005876800 is an apocalyptic number.

4005876800 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 4005876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051328480).

4005876800 is an abundant number, since it is smaller than the sum of its proper divisors (6096780160).

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

4005876800 is a wasteful number, since it uses less digits than its factorization.

4005876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 4005876800 is about 63291.9963344497. The cubic root of 4005876800 is about 1588.1780747669.

The spelling of 4005876800 in words is "four billion, five million, eight hundred seventy-six thousand, eight hundred".