220166439840 has 576 divisors, whose sum is σ = 822815884800. Its totient is φ = 53413281792.

The previous prime is 220166439733. The next prime is 220166439931. The reversal of 220166439840 is 48934661022.

220166439840 is a `hidden beast` number, since 2 + 201 + 6 + 6 + 439 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×220166439840² (a number of 23 digits) contains 22 as substring.

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

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, 79971904 + ... + 79974656.

It is an arithmetic number, because the mean of its divisors is an integer number (1428499800).

Almost surely, 2^220166439840 is an apocalyptic number.

220166439840 is a gapful number since it is divisible by the number (20) 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 220166439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411407942400).

220166439840 is an abundant number, since it is smaller than the sum of its proper divisors (602649444960).

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

220166439840 is a wasteful number, since it uses less digits than its factorization.

220166439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 220166439840 in words is "two hundred twenty billion, one hundred sixty-six million, four hundred thirty-nine thousand, eight hundred forty".