4262080032 has 144 divisors (see below), whose sum is σ = 14364971712. Its totient is φ = 1217721600.

The previous prime is 4262080007. The next prime is 4262080049. The reversal of 4262080032 is 2300802624.

4262080032 is a `hidden beast` number, since 4 + 2 + 620 + 8 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4262079978 and 4262080005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15282 + ... + 93582.

It is an arithmetic number, because the mean of its divisors is an integer number (99756748).

Almost surely, 2^4262080032 is an apocalyptic number.

4262080032 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 4262080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182485856).

4262080032 is an abundant number, since it is smaller than the sum of its proper divisors (10102891680).

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

4262080032 is an equidigital number, since it uses as much as digits as its factorization.

4262080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78333 (or 78313 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4262080032 is about 65284.6079256053. The cubic root of 4262080032 is about 1621.3391396364.

Adding to 4262080032 its reverse (2300802624), we get a palindrome (6562882656).

The spelling of 4262080032 in words is "four billion, two hundred sixty-two million, eighty thousand, thirty-two".