4514080032 has 576 divisors, whose sum is σ = 16846921728. Its totient is φ = 1112832000.

The previous prime is 4514080019. The next prime is 4514080037. The reversal of 4514080032 is 2300804154.

It is a super-2 number, since 2×4514080032² = 40753837070602242048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4514079978 and 4514080005.

It is not an unprimeable number, because it can be changed into a prime (4514080037) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63578557 + ... + 63578627.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 2^4514080032 is an apocalyptic number.

4514080032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4514080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423460864).

4514080032 is an abundant number, since it is smaller than the sum of its proper divisors (12332841696).

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

4514080032 is a wasteful number, since it uses less digits than its factorization.

4514080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4514080032 is about 67186.9037238657. The cubic root of 4514080032 is about 1652.6837295097.

Adding to 4514080032 its reverse (2300804154), we get a palindrome (6814884186).

The spelling of 4514080032 in words is "four billion, five hundred fourteen million, eighty thousand, thirty-two".