4362906240 has 640 divisors, whose sum is σ = 19443093120. Its totient is φ = 905748480.

The previous prime is 4362906221. The next prime is 4362906253. The reversal of 4362906240 is 426092634.

4362906240 is a `hidden beast` number, since 4 + 3 + 6 + 29 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4362906195 and 4362906204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991134 + ... + 3992226.

It is an arithmetic number, because the mean of its divisors is an integer number (30379833).

Almost surely, 2^4362906240 is an apocalyptic number.

4362906240 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 4362906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721546560).

4362906240 is an abundant number, since it is smaller than the sum of its proper divisors (15080186880).

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

4362906240 is a wasteful number, since it uses less digits than its factorization.

4362906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4362906240 is about 66052.2992786776. The cubic root of 4362906240 is about 1634.0247361131.

Adding to 4362906240 its reverse (426092634), we get a palindrome (4788998874).

The spelling of 4362906240 in words is "four billion, three hundred sixty-two million, nine hundred six thousand, two hundred forty".