220040190720 has 432 divisors, whose sum is σ = 891310335552. Its totient is φ = 49067458560.

The previous prime is 220040190703. The next prime is 220040190757. The reversal of 220040190720 is 27091040022.

220040190720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3272964 + ... + 3339516.

Almost surely, 2^220040190720 is an apocalyptic number.

220040190720 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 220040190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445655167776).

220040190720 is an abundant number, since it is smaller than the sum of its proper divisors (671270144832).

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

220040190720 is a wasteful number, since it uses less digits than its factorization.

220040190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66628 (or 66611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 220040190720 in words is "two hundred twenty billion, forty million, one hundred ninety thousand, seven hundred twenty".