4009242240 has 384 divisors, whose sum is σ = 14744695680. Its totient is φ = 1001594880.

The previous prime is 4009242239. The next prime is 4009242287. The reversal of 4009242240 is 422429004.

4009242240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4009242240³ (a number of 30 digits) contains 333 as substring.

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, 7021155 + ... + 7021725.

It is an arithmetic number, because the mean of its divisors is an integer number (38397645).

Almost surely, 2^4009242240 is an apocalyptic number.

4009242240 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 4009242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372347840).

4009242240 is an abundant number, since it is smaller than the sum of its proper divisors (10735453440).

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

4009242240 is a wasteful number, since it uses less digits than its factorization.

4009242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4009242240 is about 63318.5773687312. The cubic root of 4009242240 is about 1588.6227066735.

The spelling of 4009242240 in words is "four billion, nine million, two hundred forty-two thousand, two hundred forty".