4223105513200 has 180 divisors, whose sum is σ = 11917095687120. Its totient is φ = 1433863710720.

The previous prime is 4223105513167. The next prime is 4223105513251. The reversal of 4223105513200 is 23155013224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972856 + ... + 3064744.

Almost surely, 2^{4223105513200} is an apocalyptic number.

4223105513200 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 4223105513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958547843560).

4223105513200 is an abundant number, since it is smaller than the sum of its proper divisors (7693990173920).

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

4223105513200 is a wasteful number, since it uses less digits than its factorization.

4223105513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092024 (or 2092006 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 4223105513200 in words is "four trillion, two hundred twenty-three billion, one hundred five million, five hundred thirteen thousand, two hundred".