4161432624 has 80 divisors (see below), whose sum is σ = 11075838720. Its totient is φ = 1345386240.

The previous prime is 4161432607. The next prime is 4161432631. The reversal of 4161432624 is 4262341614.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 584317 + ... + 591395.

It is an arithmetic number, because the mean of its divisors is an integer number (138447984).

Almost surely, 2^4161432624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161432624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537919360).

4161432624 is an abundant number, since it is smaller than the sum of its proper divisors (6914406096).

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

4161432624 is a wasteful number, since it uses less digits than its factorization.

4161432624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7452 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4161432624 is about 64509.1669764848. The cubic root of 4161432624 is about 1608.4749036636.

The spelling of 4161432624 in words is "four billion, one hundred sixty-one million, four hundred thirty-two thousand, six hundred twenty-four".