200220420400 has 480 divisors, whose sum is σ = 652384244736. Its totient is φ = 57024000000.

The previous prime is 200220420371. The next prime is 200220420401. The reversal of 200220420400 is 4024022002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200220420401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40437925 + ... + 40442875.

Almost surely, 2^200220420400 is an apocalyptic number.

200220420400 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 200220420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326192122368).

200220420400 is an abundant number, since it is smaller than the sum of its proper divisors (452163824336).

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

200220420400 is a wasteful number, since it uses less digits than its factorization.

200220420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200220420400 its reverse (4024022002), we get a palindrome (204244442402).

It can be divided in two parts, 2002 and 20420400, that added together give a palindrome (20422402).

The spelling of 200220420400 in words is "two hundred billion, two hundred twenty million, four hundred twenty thousand, four hundred".