220077142021440 has 672 divisors, whose sum is σ = 837603684403200. Its totient is φ = 52589079244800.

The previous prime is 220077142021403. The next prime is 220077142021441. The reversal of 220077142021440 is 44120241770022.

220077142021440 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 7 + 7 + 1 + 4 + 202 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220077142021395 and 220077142021404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220077142021441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14842991307 + ... + 14843006133.

Almost surely, 2^{220077142021440} is an apocalyptic number.

220077142021440 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 220077142021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418801842201600).

220077142021440 is an abundant number, since it is smaller than the sum of its proper divisors (617526542381760).

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

220077142021440 is a wasteful number, since it uses less digits than its factorization.

220077142021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21531 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 220077142021440 its reverse (44120241770022), we get a palindrome (264197383791462).

The spelling of 220077142021440 in words is "two hundred twenty trillion, seventy-seven billion, one hundred forty-two million, twenty-one thousand, four hundred forty".