221004414442020 has 192 divisors, whose sum is σ = 737835266875392. Its totient is φ = 48798628608000.

The previous prime is 221004414441949. The next prime is 221004414442057. The reversal of 221004414442020 is 20244414400122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317351586 + ... + 318047225.

It is an arithmetic number, because the mean of its divisors is an integer number (3842892014976).

Almost surely, 2^{221004414442020} is an apocalyptic number.

221004414442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221004414442020 is an abundant number, since it is smaller than the sum of its proper divisors (516830852433372).

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

221004414442020 is a wasteful number, since it uses less digits than its factorization.

221004414442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635398882 (or 635398880 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 221004414442020 its reverse (20244414400122), we get a palindrome (241248828842142).

The spelling of 221004414442020 in words is "two hundred twenty-one trillion, four billion, four hundred fourteen million, four hundred forty-two thousand, twenty".