4057887504 has 160 divisors (see below), whose sum is σ = 11802101760. Its totient is φ = 1190848000.

The previous prime is 4057887503. The next prime is 4057887523.

4057887504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4057887503) 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 31 ways as a sum of consecutive naturals, for example, 2505607 + ... + 2507225.

It is an arithmetic number, because the mean of its divisors is an integer number (73763136).

Almost surely, 2^4057887504 is an apocalyptic number.

4057887504 is a gapful number since it is divisible by the number (44) 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 4057887504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901050880).

4057887504 is an abundant number, since it is smaller than the sum of its proper divisors (7744214256).

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

4057887504 is a wasteful number, since it uses less digits than its factorization.

4057887504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 4057887504 is about 63701.5502480120. The cubic root of 4057887504 is about 1595.0219634492.

The spelling of 4057887504 in words is "four billion, fifty-seven million, eight hundred eighty-seven thousand, five hundred four".