221477243885040 has 640 divisors, whose sum is σ = 808231619865600. Its totient is φ = 49461869445120.

The previous prime is 221477243885017. The next prime is 221477243885047. The reversal of 221477243885040 is 40588342774122.

221477243885040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221477243885047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41420839647 + ... + 41420844993.

It is an arithmetic number, because the mean of its divisors is an integer number (1262861906040).

Almost surely, 2^{221477243885040} is an apocalyptic number.

221477243885040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221477243885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404115809932800).

221477243885040 is an abundant number, since it is smaller than the sum of its proper divisors (586754375980560).

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

221477243885040 is a wasteful number, since it uses less digits than its factorization.

221477243885040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 221477243885040 in words is "two hundred twenty-one trillion, four hundred seventy-seven billion, two hundred forty-three million, eight hundred eighty-five thousand, forty".