4057539840 has 108 divisors (see below), whose sum is σ = 14038705044. Its totient is φ = 1082007552.

The previous prime is 4057539809. The next prime is 4057539847. The reversal of 4057539840 is 489357504.

4057539840 is a `hidden beast` number, since 4 + 0 + 575 + 39 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1617970176 + 2439569664 = 40224^2 + 49392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057539847) 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 11 ways as a sum of consecutive naturals, for example, 164589 + ... + 187628.

Almost surely, 2^4057539840 is an apocalyptic number.

4057539840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057539840 is an abundant number, since it is smaller than the sum of its proper divisors (9981165204).

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

4057539840 is a wasteful number, since it uses less digits than its factorization.

4057539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352244 (or 352227 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4057539840 is about 63698.8213391739. The cubic root of 4057539840 is about 1594.9764103913.

The spelling of 4057539840 in words is "four billion, fifty-seven million, five hundred thirty-nine thousand, eight hundred forty".