4711206240 has 504 divisors, whose sum is σ = 18145723680. Its totient is φ = 1154829312.

The previous prime is 4711206239. The next prime is 4711206259. The reversal of 4711206240 is 426021174.

4711206240 is a `hidden beast` number, since 4 + 7 + 11 + 20 + 624 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 19712041 + ... + 19712279.

It is an arithmetic number, because the mean of its divisors is an integer number (36003420).

Almost surely, 2^4711206240 is an apocalyptic number.

4711206240 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 4711206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072861840).

4711206240 is an abundant number, since it is smaller than the sum of its proper divisors (13434517440).

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

4711206240 is a wasteful number, since it uses less digits than its factorization.

4711206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4711206240 is about 68638.2272498351. The cubic root of 4711206240 is about 1676.3989192500.

The spelling of 4711206240 in words is "four billion, seven hundred eleven million, two hundred six thousand, two hundred forty".