4057555680 has 336 divisors, whose sum is σ = 14724808560. Its totient is φ = 1055545344.

The previous prime is 4057555651. The next prime is 4057555703. The reversal of 4057555680 is 865557504.

4057555680 is a `hidden beast` number, since 40 + 57 + 5 + 556 + 8 + 0 = 666.

4057555680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4057555680³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5015116 + ... + 5015924.

It is an arithmetic number, because the mean of its divisors is an integer number (43823835).

Almost surely, 2^4057555680 is an apocalyptic number.

4057555680 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 4057555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362404280).

4057555680 is an abundant number, since it is smaller than the sum of its proper divisors (10667252880).

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

4057555680 is an equidigital number, since it uses as much as digits as its factorization.

4057555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 4057555680 is about 63698.9456741632. The cubic root of 4057555680 is about 1594.9784859013.

The spelling of 4057555680 in words is "four billion, fifty-seven million, five hundred fifty-five thousand, six hundred eighty".