221314044223040 has 224 divisors, whose sum is σ = 535480891545600. Its totient is φ = 87109741854720.

The previous prime is 221314044223037. The next prime is 221314044223061. The reversal of 221314044223040 is 40322440413122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 221314044222988 and 221314044223006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9987535481 + ... + 9987557639.

It is an arithmetic number, because the mean of its divisors is an integer number (2390539694400).

Almost surely, 2^{221314044223040} is an apocalyptic number.

221314044223040 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 221314044223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267740445772800).

221314044223040 is an abundant number, since it is smaller than the sum of its proper divisors (314166847322560).

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

221314044223040 is a wasteful number, since it uses less digits than its factorization.

221314044223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573 (or 23563 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 221314044223040 its reverse (40322440413122), we get a palindrome (261636484636162).

The spelling of 221314044223040 in words is "two hundred twenty-one trillion, three hundred fourteen billion, forty-four million, two hundred twenty-three thousand, forty".