4178452028600 has 96 divisors (see below), whose sum is σ = 10288358467200. Its totient is φ = 1572759552000.

The previous prime is 4178452028591. The next prime is 4178452028603. The reversal of 4178452028600 is 68202548714.

It is a super-2 number, since 2×4178452028600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4178452028603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17832200 + ... + 18065000.

It is an arithmetic number, because the mean of its divisors is an integer number (107170400700).

Almost surely, 2^{4178452028600} is an apocalyptic number.

4178452028600 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 4178452028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144179233600).

4178452028600 is an abundant number, since it is smaller than the sum of its proper divisors (6109906438600).

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

4178452028600 is a wasteful number, since it uses less digits than its factorization.

4178452028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238113 (or 238104 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 4178452028600 in words is "four trillion, one hundred seventy-eight billion, four hundred fifty-two million, twenty-eight thousand, six hundred".