4139471952 has 420 divisors, whose sum is σ = 15141635040. Its totient is φ = 1072621440.

The previous prime is 4139471929. The next prime is 4139471957. The reversal of 4139471952 is 2591749314.

4139471952 is a `hidden beast` number, since 413 + 9 + 47 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4139471898 and 4139471907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4139471957) 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 83 ways as a sum of consecutive naturals, for example, 9879199 + ... + 9879617.

It is an arithmetic number, because the mean of its divisors is an integer number (36051512).

Almost surely, 2^4139471952 is an apocalyptic number.

4139471952 is a gapful number since it is divisible by the number (42) 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 4139471952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570817520).

4139471952 is an abundant number, since it is smaller than the sum of its proper divisors (11002163088).

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

4139471952 is a wasteful number, since it uses less digits than its factorization.

4139471952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 442 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 4139471952 is about 64338.7282435704. The cubic root of 4139471952 is about 1605.6405025074.

The spelling of 4139471952 in words is "four billion, one hundred thirty-nine million, four hundred seventy-one thousand, nine hundred fifty-two".