4406150160 has 240 divisors, whose sum is σ = 15696495360. Its totient is φ = 1104537600.

The previous prime is 4406150153. The next prime is 4406150191. The reversal of 4406150160 is 610516044.

4406150160 is a `hidden beast` number, since 4 + 40 + 61 + 501 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872985 + ... + 1875335.

It is an arithmetic number, because the mean of its divisors is an integer number (65402064).

Almost surely, 2^4406150160 is an apocalyptic number.

4406150160 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 4406150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848247680).

4406150160 is an abundant number, since it is smaller than the sum of its proper divisors (11290345200).

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

4406150160 is a wasteful number, since it uses less digits than its factorization.

4406150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4406150160 is about 66378.8381941112. The cubic root of 4406150160 is about 1639.4056640756.

The spelling of 4406150160 in words is "four billion, four hundred six million, one hundred fifty thousand, one hundred sixty".