4120009611588 has 288 divisors, whose sum is σ = 12204857298816. Its totient is φ = 1160061751296.

The previous prime is 4120009611547. The next prime is 4120009611611. The reversal of 4120009611588 is 8851169000214.

It is a happy number.

4120009611588 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 0 + 0 + 9 + 61 + 1 + 588 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507198895 + ... + 507207017.

It is an arithmetic number, because the mean of its divisors is an integer number (42377976732).

Almost surely, 2^{4120009611588} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120009611588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102428649408).

4120009611588 is an abundant number, since it is smaller than the sum of its proper divisors (8084847687228).

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

4120009611588 is a wasteful number, since it uses less digits than its factorization.

4120009611588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 4120009611588 in words is "four trillion, one hundred twenty billion, nine million, six hundred eleven thousand, five hundred eighty-eight".