220409544960 has 1152 divisors, whose sum is σ = 890072064000. Its totient is φ = 51181977600.

The previous prime is 220409544937. The next prime is 220409544997. The reversal of 220409544960 is 69445904022.

220409544960 is a `hidden beast` number, since 2 + 2 + 0 + 40 + 9 + 544 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×220409544960³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1231338151 + ... + 1231338329.

It is an arithmetic number, because the mean of its divisors is an integer number (772632000).

Almost surely, 2^220409544960 is an apocalyptic number.

220409544960 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 220409544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032000).

220409544960 is an abundant number, since it is smaller than the sum of its proper divisors (669662519040).

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

220409544960 is a wasteful number, since it uses less digits than its factorization.

220409544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 220409544960 in words is "two hundred twenty billion, four hundred nine million, five hundred forty-four thousand, nine hundred sixty".