4032612162304 has 72 divisors (see below), whose sum is σ = 8861804637840. Its totient is φ = 1816188825600.

The previous prime is 4032612162247. The next prime is 4032612162361.

4032612162304 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4032612162247) and next prime (4032612162361).

It is a super-3 number, since 3×4032612162304³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4032612162304.

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, 6262027 + ... + 6875914.

It is an arithmetic number, because the mean of its divisors is an integer number (123080619970).

Almost surely, 2^{4032612162304} is an apocalyptic number.

4032612162304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4032612162304 is an abundant number, since it is smaller than the sum of its proper divisors (4829192475536).

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

4032612162304 is a wasteful number, since it uses less digits than its factorization.

4032612162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13138077 (or 13138063 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 4032612162304 in words is "four trillion, thirty-two billion, six hundred twelve million, one hundred sixty-two thousand, three hundred four".