4640106240 has 432 divisors, whose sum is σ = 20019557376. Its totient is φ = 963993600.

The previous prime is 4640106217. The next prime is 4640106241. The reversal of 4640106240 is 426010464.

4640106240 is a `hidden beast` number, since 4 + 640 + 10 + 6 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884425 + ... + 889655.

It is an arithmetic number, because the mean of its divisors is an integer number (46341568).

Almost surely, 2^4640106240 is an apocalyptic number.

4640106240 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 4640106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009778688).

4640106240 is an abundant number, since it is smaller than the sum of its proper divisors (15379451136).

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

4640106240 is a wasteful number, since it uses less digits than its factorization.

4640106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5259 counting only the distinct ones).

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

The square root of 4640106240 is about 68118.3252876933. The cubic root of 4640106240 is about 1667.9229127806.

The spelling of 4640106240 in words is "four billion, six hundred forty million, one hundred six thousand, two hundred forty".