4179225600000 has 2016 divisors, whose sum is σ = 17609573977632. Its totient is φ = 943718400000.

The previous prime is 4179225599981. The next prime is 4179225600007. The reversal of 4179225600000 is 65229714.

4179225600000 is a `hidden beast` number, since 4 + 1 + 7 + 92 + 2 + 560 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4179225600007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43084799952 + ... + 43084800048.

It is an arithmetic number, because the mean of its divisors is an integer number (8734907727).

Almost surely, 2^{4179225600000} is an apocalyptic number.

4179225600000 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 4179225600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8804786988816).

4179225600000 is an abundant number, since it is smaller than the sum of its proper divisors (13430348377632).

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

4179225600000 is an equidigital number, since it uses as much as digits as its factorization.

4179225600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4179225600000 in words is "four trillion, one hundred seventy-nine billion, two hundred twenty-five million, six hundred thousand".