4182675148800 has 780 divisors, whose sum is σ = 15994406598016. Its totient is φ = 1079333683200.

The previous prime is 4182675148783. The next prime is 4182675148837. The reversal of 4182675148800 is 88415762814.

4182675148800 is a `hidden beast` number, since 41 + 8 + 2 + 6 + 7 + 514 + 8 + 80 + 0 = 666.

4182675148800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 257118267 + ... + 257134533.

Almost surely, 2^{4182675148800} is an apocalyptic number.

4182675148800 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 4182675148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997203299008).

4182675148800 is an abundant number, since it is smaller than the sum of its proper divisors (11811731449216).

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

4182675148800 is a wasteful number, since it uses less digits than its factorization.

4182675148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16344 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 4182675148800 in words is "four trillion, one hundred eighty-two billion, six hundred seventy-five million, one hundred forty-eight thousand, eight hundred".