221004221314240 has 112 divisors (see below), whose sum is σ = 647712371783232. Its totient is φ = 69944193110016.

The previous prime is 221004221314231. The next prime is 221004221314249. The reversal of 221004221314240 is 42413122400122.

It is an interprime number because it is at equal distance from previous prime (221004221314231) and next prime (221004221314249).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 221004221314199 and 221004221314208.

It is not an unprimeable number, because it can be changed into a prime (221004221314249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3794686219 + ... + 3794744458.

It is an arithmetic number, because the mean of its divisors is an integer number (5783146176636).

Almost surely, 2^{221004221314240} is an apocalyptic number.

221004221314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221004221314240 is an abundant number, since it is smaller than the sum of its proper divisors (426708150468992).

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

221004221314240 is a wasteful number, since it uses less digits than its factorization.

221004221314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589430714 (or 7589430704 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 221004221314240 its reverse (42413122400122), we get a palindrome (263417343714362).

The spelling of 221004221314240 in words is "two hundred twenty-one trillion, four billion, two hundred twenty-one million, three hundred fourteen thousand, two hundred forty".