4472166356000 has 192 divisors, whose sum is σ = 12561193532160. Its totient is φ = 1532905113600.

The previous prime is 4472166355997. The next prime is 4472166356003. The reversal of 4472166356000 is 6536612744.

It is an interprime number because it is at equal distance from previous prime (4472166355997) and next prime (4472166356003).

It is a super-3 number, since 3×4472166356000³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4472166356003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116264771 + ... + 116303229.

It is an arithmetic number, because the mean of its divisors is an integer number (65422882980).

Almost surely, 2^{4472166356000} is an apocalyptic number.

4472166356000 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 4472166356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280596766080).

4472166356000 is an abundant number, since it is smaller than the sum of its proper divisors (8089027176160).

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

4472166356000 is a wasteful number, since it uses less digits than its factorization.

4472166356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42644 (or 42626 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 4472166356000 in words is "four trillion, four hundred seventy-two billion, one hundred sixty-six million, three hundred fifty-six thousand".