4091484960 has 120 divisors (see below), whose sum is σ = 14439578076. Its totient is φ = 1091059200.

The previous prime is 4091484941. The next prime is 4091485003. The reversal of 4091484960 is 694841904.

4091484960 is a `hidden beast` number, since 409 + 148 + 49 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4028187024 + 63297936 = 63468^2 + 7956^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144891 + ... + 170810.

Almost surely, 2^4091484960 is an apocalyptic number.

4091484960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4091484960 is an abundant number, since it is smaller than the sum of its proper divisors (10348093116).

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

4091484960 is a wasteful number, since it uses less digits than its factorization.

4091484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315728 (or 315711 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4091484960 is about 63964.7165240338. The cubic root of 4091484960 is about 1599.4118880208.

The spelling of 4091484960 in words is "four billion, ninety-one million, four hundred eighty-four thousand, nine hundred sixty".