220353001400 has 384 divisors, whose sum is σ = 611163740160. Its totient is φ = 72334080000.

The previous prime is 220353001387. The next prime is 220353001439. The reversal of 220353001400 is 4100353022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795498062 + ... + 795498338.

It is an arithmetic number, because the mean of its divisors is an integer number (1591572240).

Almost surely, 2^220353001400 is an apocalyptic number.

220353001400 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 220353001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305581870080).

220353001400 is an abundant number, since it is smaller than the sum of its proper divisors (390810738760).

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

220353001400 is a wasteful number, since it uses less digits than its factorization.

220353001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 220353001400 its reverse (4100353022), we get a palindrome (224453354422).

The spelling of 220353001400 in words is "two hundred twenty billion, three hundred fifty-three million, one thousand, four hundred".