221436938240 has 384 divisors, whose sum is σ = 631004774400. Its totient is φ = 72981872640.

The previous prime is 221436938221. The next prime is 221436938309. The reversal of 221436938240 is 42839634122.

It is a junction number, because it is equal to n+sod(n) for n = 221436938191 and 221436938200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504411941 + ... + 504412379.

It is an arithmetic number, because the mean of its divisors is an integer number (1643241600).

Almost surely, 2^221436938240 is an apocalyptic number.

221436938240 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 221436938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315502387200).

221436938240 is an abundant number, since it is smaller than the sum of its proper divisors (409567836160).

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

221436938240 is a wasteful number, since it uses less digits than its factorization.

221436938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 221436938240 in words is "two hundred twenty-one billion, four hundred thirty-six million, nine hundred thirty-eight thousand, two hundred forty".