4223100310400 has 192 divisors, whose sum is σ = 10582961040000. Its totient is φ = 1665016657920.

The previous prime is 4223100310393. The next prime is 4223100310421. The reversal of 4223100310400 is 40130013224.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68106611 + ... + 68168589.

It is an arithmetic number, because the mean of its divisors is an integer number (55119588750).

Almost surely, 2^{4223100310400} is an apocalyptic number.

4223100310400 is a gapful number since it is divisible by the number (40) 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 4223100310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291480520000).

4223100310400 is an abundant number, since it is smaller than the sum of its proper divisors (6359860729600).

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

4223100310400 is a wasteful number, since it uses less digits than its factorization.

4223100310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62309 (or 62292 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4223100310400 its reverse (40130013224), we get a palindrome (4263230323624).

The spelling of 4223100310400 in words is "four trillion, two hundred twenty-three billion, one hundred million, three hundred ten thousand, four hundred".