4462042032 has 160 divisors (see below), whose sum is σ = 14671680000. Its totient is φ = 1271884032.

The previous prime is 4462042027. The next prime is 4462042043. The reversal of 4462042032 is 2302402644.

4462042032 is a `hidden beast` number, since 4 + 4 + 620 + 4 + 2 + 0 + 32 = 666.

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 = 4462041987 and 4462042005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507498 + ... + 1510454.

It is an arithmetic number, because the mean of its divisors is an integer number (91698000).

Almost surely, 2^4462042032 is an apocalyptic number.

4462042032 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 4462042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335840000).

4462042032 is an abundant number, since it is smaller than the sum of its proper divisors (10209637968).

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

4462042032 is a wasteful number, since it uses less digits than its factorization.

4462042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4462042032 is about 66798.5181871574. The cubic root of 4462042032 is about 1646.3084943490.

Adding to 4462042032 its reverse (2302402644), we get a palindrome (6764444676).

The spelling of 4462042032 in words is "four billion, four hundred sixty-two million, forty-two thousand, thirty-two".