220438417489920 has 2520 divisors, whose sum is σ = 936569395909728. Its totient is φ = 49629442867200.

The previous prime is 220438417489891. The next prime is 220438417489931. The reversal of 220438417489920 is 29984714834022.

It is a happy number.

220438417489920 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 384 + 174 + 89 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 207764766190 + ... + 207764767250.

Almost surely, 2^{220438417489920} is an apocalyptic number.

220438417489920 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 220438417489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468284697954864).

220438417489920 is an abundant number, since it is smaller than the sum of its proper divisors (716130978419808).

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

220438417489920 is an frugal number, since it uses more digits than its factorization.

220438417489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 220438417489920 in words is "two hundred twenty trillion, four hundred thirty-eight billion, four hundred seventeen million, four hundred eighty-nine thousand, nine hundred twenty".