4004620320 has 48 divisors (see below), whose sum is σ = 12614555520. Its totient is φ = 1067898624.

The previous prime is 4004620309. The next prime is 4004620337. The reversal of 4004620320 is 230264004.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4171000 + ... + 4171959.

It is an arithmetic number, because the mean of its divisors is an integer number (262803240).

Almost surely, 2^4004620320 is an apocalyptic number.

4004620320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004620320 is an abundant number, since it is smaller than the sum of its proper divisors (8609935200).

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

4004620320 is a wasteful number, since it uses less digits than its factorization.

4004620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342977 (or 8342969 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4004620320 is about 63282.0694983974. The cubic root of 4004620320 is about 1588.0120085297.

Adding to 4004620320 its reverse (230264004), we get a palindrome (4234884324).

The spelling of 4004620320 in words is "four billion, four million, six hundred twenty thousand, three hundred twenty".