4223101030400 has 312 divisors, whose sum is σ = 11989150186944. Its totient is φ = 1445363712000.

The previous prime is 4223101030399. The next prime is 4223101030429. The reversal of 4223101030400 is 40301013224.

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, 430791899 + ... + 430801701.

Almost surely, 2^{4223101030400} is an apocalyptic number.

4223101030400 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 4223101030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994575093472).

4223101030400 is an abundant number, since it is smaller than the sum of its proper divisors (7766049156544).

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

4223101030400 is an equidigital number, since it uses as much as digits as its factorization.

4223101030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10418 counting only the distinct ones).

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

Adding to 4223101030400 its reverse (40301013224), we get a palindrome (4263402043624).

The spelling of 4223101030400 in words is "four trillion, two hundred twenty-three billion, one hundred one million, thirty thousand, four hundred".