4409180160 has 480 divisors, whose sum is σ = 17665869312. Its totient is φ = 912261120.

The previous prime is 4409180141. The next prime is 4409180161. The reversal of 4409180160 is 610819044.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4409180161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923404 + ... + 18923636.

Almost surely, 2^4409180160 is an apocalyptic number.

4409180160 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 4409180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832934656).

4409180160 is an abundant number, since it is smaller than the sum of its proper divisors (13256689152).

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

4409180160 is a wasteful number, since it uses less digits than its factorization.

4409180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4409180160 is about 66401.6578106300. The cubic root of 4409180160 is about 1639.7813708161.

It can be divided in two parts, 44091 and 80160, that added together give a triangular number (124251 = T₄₉₈).

The spelling of 4409180160 in words is "four billion, four hundred nine million, one hundred eighty thousand, one hundred sixty".