4139955144 has 384 divisors, whose sum is σ = 13492224000. Its totient is φ = 1171812096.

The previous prime is 4139955143. The next prime is 4139955151. The reversal of 4139955144 is 4415599314.

4139955144 is a `hidden beast` number, since 4 + 1 + 3 + 99 + 551 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4139955144.

It is not an unprimeable number, because it can be changed into a prime (4139955143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32598009 + ... + 32598135.

It is an arithmetic number, because the mean of its divisors is an integer number (35136000).

Almost surely, 2^4139955144 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 4139955144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746112000).

4139955144 is an abundant number, since it is smaller than the sum of its proper divisors (9352268856).

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

4139955144 is a wasteful number, since it uses less digits than its factorization.

4139955144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 4139955144 is about 64342.4831973402. The cubic root of 4139955144 is about 1605.7029744418.

The spelling of 4139955144 in words is "four billion, one hundred thirty-nine million, nine hundred fifty-five thousand, one hundred forty-four".