4611210240 has 352 divisors, whose sum is σ = 18157708800. Its totient is φ = 972619776.

The previous prime is 4611210209. The next prime is 4611210257. The reversal of 4611210240 is 420121164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396111 + ... + 1399409.

It is an arithmetic number, because the mean of its divisors is an integer number (51584400).

Almost surely, 2^4611210240 is an apocalyptic number.

4611210240 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 4611210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078854400).

4611210240 is an abundant number, since it is smaller than the sum of its proper divisors (13546498560).

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

4611210240 is a wasteful number, since it uses less digits than its factorization.

4611210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4611210240 is about 67905.8925278212. The cubic root of 4611210240 is about 1664.4534020881.

The spelling of 4611210240 in words is "four billion, six hundred eleven million, two hundred ten thousand, two hundred forty".