4182482304000 has 5280 divisors, whose sum is σ = 21722015158272. Its totient is φ = 776355840000.

The previous prime is 4182482303983. The next prime is 4182482304023. The reversal of 4182482304000 is 4032842814.

4182482304000 is a `hidden beast` number, since 4 + 1 + 8 + 248 + 2 + 3 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 134918783985 + ... + 134918784015.

Almost surely, 2^{4182482304000} is an apocalyptic number.

4182482304000 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 4182482304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10861007579136).

4182482304000 is an abundant number, since it is smaller than the sum of its proper divisors (17539532854272).

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

4182482304000 is a wasteful number, since it uses less digits than its factorization.

4182482304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4182482304000 in words is "four trillion, one hundred eighty-two billion, four hundred eighty-two million, three hundred four thousand".