4096442880 has 120 divisors (see below), whose sum is σ = 14187213612. Its totient is φ = 1092378624.

The previous prime is 4096442851. The next prime is 4096442897. The reversal of 4096442880 is 882446904.

4096442880 is a `hidden beast` number, since 40 + 96 + 442 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3768977664 + 327465216 = 61392^2 + 18096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65859 + ... + 111938.

Almost surely, 2^4096442880 is an apocalyptic number.

4096442880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4096442880 is an abundant number, since it is smaller than the sum of its proper divisors (10090770732).

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

4096442880 is a wasteful number, since it uses less digits than its factorization.

4096442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177826 (or 177807 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4096442880 is about 64003.4599064769. The cubic root of 4096442880 is about 1600.0576645884.

The spelling of 4096442880 in words is "four billion, ninety-six million, four hundred forty-two thousand, eight hundred eighty".