4149578160 has 800 divisors, whose sum is σ = 18390822912. Its totient is φ = 843540480.

The previous prime is 4149578141. The next prime is 4149578177. The reversal of 4149578160 is 618759414.

4149578160 is a `hidden beast` number, since 4 + 14 + 9 + 578 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18279967 + ... + 18280193.

Almost surely, 2^4149578160 is an apocalyptic number.

4149578160 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 4149578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195411456).

4149578160 is an abundant number, since it is smaller than the sum of its proper divisors (14241244752).

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

4149578160 is a wasteful number, since it uses less digits than its factorization.

4149578160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4149578160 is about 64417.2194370418. The cubic root of 4149578160 is about 1606.9461238804.

The spelling of 4149578160 in words is "four billion, one hundred forty-nine million, five hundred seventy-eight thousand, one hundred sixty".