4220400030100 has 288 divisors, whose sum is σ = 10182668267520. Its totient is φ = 1511645184000.

The previous prime is 4220400030061. The next prime is 4220400030101. The reversal of 4220400030100 is 10300040224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220400030101) 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, 522258060 + ... + 522266140.

It is an arithmetic number, because the mean of its divisors is an integer number (35356487040).

Almost surely, 2^{4220400030100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220400030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091334133760).

4220400030100 is an abundant number, since it is smaller than the sum of its proper divisors (5962268237420).

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

4220400030100 is a wasteful number, since it uses less digits than its factorization.

4220400030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4220400030100 its reverse (10300040224), we get a palindrome (4230700070324).

The spelling of 4220400030100 in words is "four trillion, two hundred twenty billion, four hundred million, thirty thousand, one hundred".