4057063200 has 360 divisors, whose sum is σ = 14935926852. Its totient is φ = 1071636480.

The previous prime is 4057063183. The next prime is 4057063211. The reversal of 4057063200 is 23607504.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2457383184 + 1599680016 = 49572^2 + 39996^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 8877372 + ... + 8877828.

Almost surely, 2^4057063200 is an apocalyptic number.

4057063200 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 4057063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467963426).

4057063200 is an abundant number, since it is smaller than the sum of its proper divisors (10878863652).

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

4057063200 is a wasteful number, since it uses less digits than its factorization.

4057063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4057063200 is about 63695.0798727814. The cubic root of 4057063200 is about 1594.9139538818.

The spelling of 4057063200 in words is "four billion, fifty-seven million, sixty-three thousand, two hundred".