221345124240 has 80 divisors (see below), whose sum is σ = 687149251776. Its totient is φ = 58941120000.

The previous prime is 221345124227. The next prime is 221345124251. The reversal of 221345124240 is 42421543122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221345124198 and 221345124207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489586 + ... + 826065.

Almost surely, 2^221345124240 is an apocalyptic number.

221345124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221345124240 is an abundant number, since it is smaller than the sum of its proper divisors (465804127536).

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

221345124240 is a wasteful number, since it uses less digits than its factorization.

221345124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316368 (or 1316362 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 221345124240 its reverse (42421543122), we get a palindrome (263766667362).

The spelling of 221345124240 in words is "two hundred twenty-one billion, three hundred forty-five million, one hundred twenty-four thousand, two hundred forty".