4415816832 has 128 divisors (see below), whose sum is σ = 13426627200. Its totient is φ = 1259642880.

The previous prime is 4415816831. The next prime is 4415816857. The reversal of 4415816832 is 2386185144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4415816831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2743644 + ... + 2745252.

It is an arithmetic number, because the mean of its divisors is an integer number (104895525).

Almost surely, 2^4415816832 is an apocalyptic number.

4415816832 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 4415816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713313600).

4415816832 is an abundant number, since it is smaller than the sum of its proper divisors (9010810368).

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

4415816832 is a wasteful number, since it uses less digits than its factorization.

4415816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2642 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 4415816832 is about 66451.6127118071. The cubic root of 4415816832 is about 1640.6036881244.

The spelling of 4415816832 in words is "four billion, four hundred fifteen million, eight hundred sixteen thousand, eight hundred thirty-two".