4081530908160 has 720 divisors, whose sum is σ = 14676305509008. Its totient is φ = 1048252907520.

The previous prime is 4081530908153. The next prime is 4081530908167. The reversal of 4081530908160 is 618090351804.

4081530908160 is a `hidden beast` number, since 408 + 153 + 0 + 90 + 8 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4081530908153) and next prime (4081530908167).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081530908167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7461665007 + ... + 7461665553.

Almost surely, 2^{4081530908160} is an apocalyptic number.

4081530908160 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 4081530908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338152754504).

4081530908160 is an abundant number, since it is smaller than the sum of its proper divisors (10594774600848).

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

4081530908160 is a wasteful number, since it uses less digits than its factorization.

4081530908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4081530908160 in words is "four trillion, eighty-one billion, five hundred thirty million, nine hundred eight thousand, one hundred sixty".