221342011440 has 320 divisors, whose sum is σ = 798377472000. Its totient is φ = 50132254720.

The previous prime is 221342011439. The next prime is 221342011441. The reversal of 221342011440 is 44110243122.

It is an interprime number because it is at equal distance from previous prime (221342011439) and next prime (221342011441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221342011440.

It is not an unprimeable number, because it can be changed into a prime (221342011441) 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, 6130561 + ... + 6166559.

It is an arithmetic number, because the mean of its divisors is an integer number (2494929600).

Almost surely, 2^221342011440 is an apocalyptic number.

221342011440 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 221342011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399188736000).

221342011440 is an abundant number, since it is smaller than the sum of its proper divisors (577035460560).

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

221342011440 is a wasteful number, since it uses less digits than its factorization.

221342011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36180 (or 36174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221342011440 its reverse (44110243122), we get a palindrome (265452254562).

The spelling of 221342011440 in words is "two hundred twenty-one billion, three hundred forty-two million, eleven thousand, four hundred forty".