220806802140 has 192 divisors, whose sum is σ = 681270912000. Its totient is φ = 53185613824.

The previous prime is 220806802127. The next prime is 220806802147. The reversal of 220806802140 is 41208608022.

It is a happy number.

It is a super-4 number, since 4×220806802140⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220806802147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4917511 + ... + 4962209.

It is an arithmetic number, because the mean of its divisors is an integer number (3548286000).

Almost surely, 2^220806802140 is an apocalyptic number.

220806802140 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 220806802140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340635456000).

220806802140 is an abundant number, since it is smaller than the sum of its proper divisors (460464109860).

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

220806802140 is a wasteful number, since it uses less digits than its factorization.

220806802140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44924 (or 44922 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 220806802140 in words is "two hundred twenty billion, eight hundred six million, eight hundred two thousand, one hundred forty".