4146004320 has 48 divisors (see below), whose sum is σ = 13059915120. Its totient is φ = 1105601024.

The previous prime is 4146004301. The next prime is 4146004321. The reversal of 4146004320 is 234006414.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146004321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4318275 + ... + 4319234.

It is an arithmetic number, because the mean of its divisors is an integer number (272081565).

Almost surely, 2^4146004320 is an apocalyptic number.

4146004320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4146004320 is an abundant number, since it is smaller than the sum of its proper divisors (8913910800).

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

4146004320 is a wasteful number, since it uses less digits than its factorization.

4146004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637527 (or 8637519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4146004320 is about 64389.4736738855. The cubic root of 4146004320 is about 1606.4846618859.

The spelling of 4146004320 in words is "four billion, one hundred forty-six million, four thousand, three hundred twenty".