220927440000 has 320 divisors, whose sum is σ = 771924780000. Its totient is φ = 55812096000.

The previous prime is 220927439983. The next prime is 220927440017. The reversal of 220927440000 is 44729022.

It is an interprime number because it is at equal distance from previous prime (220927439983) and next prime (220927440017).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 220927440000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4535776 + ... + 4584224.

Almost surely, 2^220927440000 is an apocalyptic number.

220927440000 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 220927440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385962390000).

220927440000 is an abundant number, since it is smaller than the sum of its proper divisors (550997340000).

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

220927440000 is an equidigital number, since it uses as much as digits as its factorization.

220927440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 220927440000 in words is "two hundred twenty billion, nine hundred twenty-seven million, four hundred forty thousand".