4055557680 has 80 divisors (see below), whose sum is σ = 13969150560. Its totient is φ = 1081481472.

The previous prime is 4055557669. The next prime is 4055557687. The reversal of 4055557680 is 867555504.

4055557680 is a `hidden beast` number, since 40 + 55 + 557 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4055557687) 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 15 ways as a sum of consecutive naturals, for example, 936627 + ... + 940946.

It is an arithmetic number, because the mean of its divisors is an integer number (174614382).

Almost surely, 2^4055557680 is an apocalyptic number.

4055557680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4055557680 is an abundant number, since it is smaller than the sum of its proper divisors (9913592880).

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

4055557680 is a wasteful number, since it uses less digits than its factorization.

4055557680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877595 (or 1877583 counting only the distinct ones).

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

The square root of 4055557680 is about 63683.2605949161. The cubic root of 4055557680 is about 1594.7166459760.

The spelling of 4055557680 in words is "four billion, fifty-five million, five hundred fifty-seven thousand, six hundred eighty".