4182205482672 has 480 divisors, whose sum is σ = 13580167575552. Its totient is φ = 1085533913088.

The previous prime is 4182205482667. The next prime is 4182205482713. The reversal of 4182205482672 is 2762845022814.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333157548 + ... + 333170100.

Almost surely, 2^{4182205482672} is an apocalyptic number.

4182205482672 is a gapful number since it is divisible by the number (42) 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 4182205482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790083787776).

4182205482672 is an abundant number, since it is smaller than the sum of its proper divisors (9397962092880).

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

4182205482672 is a wasteful number, since it uses less digits than its factorization.

4182205482672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 4182205482672 in words is "four trillion, one hundred eighty-two billion, two hundred five million, four hundred eighty-two thousand, six hundred seventy-two".