4104596160 has 224 divisors, whose sum is σ = 16548933120. Its totient is φ = 938179584.

The previous prime is 4104596149. The next prime is 4104596173. The reversal of 4104596160 is 616954014.

4104596160 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 596 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×4104596160³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 26547 + ... + 94413.

Almost surely, 2^4104596160 is an apocalyptic number.

4104596160 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 4104596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274466560).

4104596160 is an abundant number, since it is smaller than the sum of its proper divisors (12444336960).

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

4104596160 is a wasteful number, since it uses less digits than its factorization.

4104596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67900 (or 67884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4104596160 is about 64067.1223015362. The cubic root of 4104596160 is about 1601.1185095697.

The spelling of 4104596160 in words is "four billion, one hundred four million, five hundred ninety-six thousand, one hundred sixty".