4401516672 has 160 divisors (see below), whose sum is σ = 14970352320. Its totient is φ = 1257555456.

The previous prime is 4401516661. The next prime is 4401516709. The reversal of 4401516672 is 2766151044.

4401516672 is a `hidden beast` number, since 440 + 151 + 6 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42253 + ... + 102899.

It is an arithmetic number, because the mean of its divisors is an integer number (93564702).

Almost surely, 2^4401516672 is an apocalyptic number.

4401516672 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 4401516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485176160).

4401516672 is an abundant number, since it is smaller than the sum of its proper divisors (10568835648).

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

4401516672 is an equidigital number, since it uses as much as digits as its factorization.

4401516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60680 (or 60659 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4401516672 is about 66343.9271674507. The cubic root of 4401516672 is about 1638.8307986072.

The spelling of 4401516672 in words is "four billion, four hundred one million, five hundred sixteen thousand, six hundred seventy-two".