4057771680 has 96 divisors (see below), whose sum is σ = 14202216000. Its totient is φ = 1082071296.

The previous prime is 4057771673. The next prime is 4057771687. The reversal of 4057771680 is 861777504.

4057771680 is a `hidden beast` number, since 4 + 0 + 577 + 71 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4057771673) and next prime (4057771687).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4057771680² = 32931022014020044800, which contains 22 as substring.

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 (4057771687) 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, 465330 + ... + 473969.

It is an arithmetic number, because the mean of its divisors is an integer number (147939750).

Almost surely, 2^4057771680 is an apocalyptic number.

4057771680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4057771680 is an abundant number, since it is smaller than the sum of its proper divisors (10144444320).

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

4057771680 is a wasteful number, since it uses less digits than its factorization.

4057771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939323 (or 939309 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 4057771680 is about 63700.6411270719. The cubic root of 4057771680 is about 1595.0067877713.

The spelling of 4057771680 in words is "four billion, fifty-seven million, seven hundred seventy-one thousand, six hundred eighty".