220277111040 has 1152 divisors, whose sum is σ = 996033024000. Its totient is φ = 44877348864.

The previous prime is 220277111027. The next prime is 220277111081. The reversal of 220277111040 is 40111772022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220277110995 and 220277111013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78138751 + ... + 78141569.

It is an arithmetic number, because the mean of its divisors is an integer number (864612000).

Almost surely, 2^220277111040 is an apocalyptic number.

220277111040 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 220277111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498016512000).

220277111040 is an abundant number, since it is smaller than the sum of its proper divisors (775755912960).

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

220277111040 is a wasteful number, since it uses less digits than its factorization.

220277111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 220277111040 its reverse (40111772022), we get a palindrome (260388883062).

The spelling of 220277111040 in words is "two hundred twenty billion, two hundred seventy-seven million, one hundred eleven thousand, forty".