4131984960 has 560 divisors, whose sum is σ = 15932505600. Its totient is φ = 1013354496.

The previous prime is 4131984959. The next prime is 4131984973. The reversal of 4131984960 is 694891314.

4131984960 is a `hidden beast` number, since 41 + 31 + 98 + 496 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17288521 + ... + 17288759.

Almost surely, 2^4131984960 is an apocalyptic number.

4131984960 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 4131984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966252800).

4131984960 is an abundant number, since it is smaller than the sum of its proper divisors (11800520640).

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

4131984960 is a wasteful number, since it uses less digits than its factorization.

4131984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4131984960 is about 64280.5177328248. The cubic root of 4131984960 is about 1604.6718868102.

The spelling of 4131984960 in words is "four billion, one hundred thirty-one million, nine hundred eighty-four thousand, nine hundred sixty".