4200123414444 has 192 divisors, whose sum is σ = 10738539356160. Its totient is φ = 1273144884480.

The previous prime is 4200123414437. The next prime is 4200123414469. The reversal of 4200123414444 is 4444143210024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889289067 + ... + 889293789.

It is an arithmetic number, because the mean of its divisors is an integer number (55929892480).

Almost surely, 2^{4200123414444} 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 4200123414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369269678080).

4200123414444 is an abundant number, since it is smaller than the sum of its proper divisors (6538415941716).

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

4200123414444 is a wasteful number, since it uses less digits than its factorization.

4200123414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4200123414444 its reverse (4444143210024), we get a palindrome (8644266624468).

The spelling of 4200123414444 in words is "four trillion, two hundred billion, one hundred twenty-three million, four hundred fourteen thousand, four hundred forty-four".