4408162560 has 720 divisors, whose sum is σ = 17388855792. Its totient is φ = 1061683200.

The previous prime is 4408162559. The next prime is 4408162579. The reversal of 4408162560 is 652618044.

4408162560 is a `hidden beast` number, since 440 + 8 + 162 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1040449536 + 3367713024 = 32256^2 + 58032^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72264930 + ... + 72264990.

Almost surely, 2^4408162560 is an apocalyptic number.

4408162560 is a gapful number since it is divisible by the number (40) 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 4408162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694427896).

4408162560 is an abundant number, since it is smaller than the sum of its proper divisors (12980693232).

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

4408162560 is a wasteful number, since it uses less digits than its factorization.

4408162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4408162560 is about 66393.9949091783. The cubic root of 4408162560 is about 1639.6552120709.

The spelling of 4408162560 in words is "four billion, four hundred eight million, one hundred sixty-two thousand, five hundred sixty".