4005066240 has 480 divisors, whose sum is σ = 16699288320. Its totient is φ = 866598912.

The previous prime is 4005066223. The next prime is 4005066251. The reversal of 4005066240 is 426605004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063667 + ... + 3064973.

It is an arithmetic number, because the mean of its divisors is an integer number (34790184).

Almost surely, 2^4005066240 is an apocalyptic number.

4005066240 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 4005066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349644160).

4005066240 is an abundant number, since it is smaller than the sum of its proper divisors (12694222080).

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

4005066240 is a wasteful number, since it uses less digits than its factorization.

4005066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4005066240 is about 63285.5926732143. The cubic root of 4005066240 is about 1588.0709487850.

The spelling of 4005066240 in words is "four billion, five million, sixty-six thousand, two hundred forty".