221411414324540 has 96 divisors (see below), whose sum is σ = 547204091603904. Its totient is φ = 74347410575360.

The previous prime is 221411414324533. The next prime is 221411414324543. The reversal of 221411414324540 is 45423414114122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221411414324494 and 221411414324503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221411414324543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558300959 + ... + 558697398.

It is an arithmetic number, because the mean of its divisors is an integer number (5700042620874).

Almost surely, 2^{221411414324540} is an apocalyptic number.

221411414324540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221411414324540 is an abundant number, since it is smaller than the sum of its proper divisors (325792677279364).

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

221411414324540 is a wasteful number, since it uses less digits than its factorization.

221411414324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116998447 (or 1116998445 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

Adding to 221411414324540 its reverse (45423414114122), we get a palindrome (266834828438662).

The spelling of 221411414324540 in words is "two hundred twenty-one trillion, four hundred eleven billion, four hundred fourteen million, three hundred twenty-four thousand, five hundred forty".