4057772544 has 320 divisors, whose sum is σ = 14456217600. Its totient is φ = 1097846784.

The previous prime is 4057772531. The next prime is 4057772549. The reversal of 4057772544 is 4452777504.

4057772544 is a `hidden beast` number, since 4 + 0 + 577 + 72 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4057772544.

It is not an unprimeable number, because it can be changed into a prime (4057772549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837489 + ... + 1839695.

It is an arithmetic number, because the mean of its divisors is an integer number (45175680).

Almost surely, 2^4057772544 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 4057772544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228108800).

4057772544 is an abundant number, since it is smaller than the sum of its proper divisors (10398445056).

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

4057772544 is a wasteful number, since it uses less digits than its factorization.

4057772544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The square root of 4057772544 is about 63700.6479087929. The cubic root of 4057772544 is about 1595.0069009767.

It can be divided in two parts, 405777 and 2544, that added together give a square (408321 = 639²).

The spelling of 4057772544 in words is "four billion, fifty-seven million, seven hundred seventy-two thousand, five hundred forty-four".