221231315040 has 96 divisors (see below), whose sum is σ = 698617102176. Its totient is φ = 58847846400.

The previous prime is 221231315017. The next prime is 221231315059. The reversal of 221231315040 is 40513132122.

It is a tau number, because it is divible by the number of its divisors (96).

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 221231315040.

It is a congruent number.

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, 382207 + ... + 767166.

It is an arithmetic number, because the mean of its divisors is an integer number (7277261481).

Almost surely, 2^221231315040 is an apocalyptic number.

221231315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221231315040 is an abundant number, since it is smaller than the sum of its proper divisors (477385787136).

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

221231315040 is a wasteful number, since it uses less digits than its factorization.

221231315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149792 (or 1149784 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 221231315040 its reverse (40513132122), we get a palindrome (261744447162).

The spelling of 221231315040 in words is "two hundred twenty-one billion, two hundred thirty-one million, three hundred fifteen thousand, forty".