4004840480 has 48 divisors (see below), whose sum is σ = 9472438080. Its totient is φ = 1600073472.

The previous prime is 4004840459. The next prime is 4004840507. The reversal of 4004840480 is 840484004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127811 + ... + 156029.

It is an arithmetic number, because the mean of its divisors is an integer number (197342460).

Almost surely, 2^4004840480 is an apocalyptic number.

4004840480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004840480 is an abundant number, since it is smaller than the sum of its proper divisors (5467597600).

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

4004840480 is a wasteful number, since it uses less digits than its factorization.

4004840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29121 (or 29113 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4004840480 is about 63283.8089877656. The cubic root of 4004840480 is about 1588.0411091093.

The spelling of 4004840480 in words is "four billion, four million, eight hundred forty thousand, four hundred eighty".