4057252992 has 192 divisors, whose sum is σ = 13121035200. Its totient is φ = 1194006528.

The previous prime is 4057252981. The next prime is 4057252993. The reversal of 4057252992 is 2992527504.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4057252992² = 32922603682185904128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4057252993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 338559 + ... + 350337.

It is an arithmetic number, because the mean of its divisors is an integer number (68338725).

Almost surely, 2^4057252992 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 4057252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560517600).

4057252992 is an abundant number, since it is smaller than the sum of its proper divisors (9063782208).

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

4057252992 is a wasteful number, since it uses less digits than its factorization.

4057252992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4057252992 is about 63696.5697035563. The cubic root of 4057252992 is about 1594.9388238575.

It can be divided in two parts, 40572 and 52992, that multiplied together give a square (2149991424 = 46368²).

The spelling of 4057252992 in words is "four billion, fifty-seven million, two hundred fifty-two thousand, nine hundred ninety-two".