4132982880 has 864 divisors, whose sum is σ = 17222665824. Its totient is φ = 931627008.

The previous prime is 4132982873. The next prime is 4132982891. The reversal of 4132982880 is 882892314.

4132982880 is a `hidden beast` number, since 41 + 329 + 8 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 111702222 + ... + 111702258.

It is an arithmetic number, because the mean of its divisors is an integer number (19933641).

Almost surely, 2^4132982880 is an apocalyptic number.

4132982880 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 4132982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611332912).

4132982880 is an abundant number, since it is smaller than the sum of its proper divisors (13089682944).

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

4132982880 is a wasteful number, since it uses less digits than its factorization.

4132982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4132982880 is about 64288.2794916772. The cubic root of 4132982880 is about 1604.8010584060.

The spelling of 4132982880 in words is "four billion, one hundred thirty-two million, nine hundred eighty-two thousand, eight hundred eighty".