4478117171220 has 864 divisors, whose sum is σ = 17787111014400. Its totient is φ = 891661478400.

The previous prime is 4478117171207. The next prime is 4478117171221. The reversal of 4478117171220 is 221717118744.

4478117171220 is a `hidden beast` number, since 4 + 478 + 1 + 1 + 7 + 171 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4478117171221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 486800181 + ... + 486809379.

Almost surely, 2^{4478117171220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4478117171220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893555507200).

4478117171220 is an abundant number, since it is smaller than the sum of its proper divisors (13308993843180).

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

4478117171220 is a wasteful number, since it uses less digits than its factorization.

4478117171220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 4478117171220 in words is "four trillion, four hundred seventy-eight billion, one hundred seventeen million, one hundred seventy-one thousand, two hundred twenty".