4113402423200 has 288 divisors, whose sum is σ = 11682557268480. Its totient is φ = 1385137152000.

The previous prime is 4113402423199. The next prime is 4113402423217. The reversal of 4113402423200 is 23242043114.

It is a self number, because there is not a number n which added to its sum of digits gives 4113402423200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97682150 + ... + 97724250.

It is an arithmetic number, because the mean of its divisors is an integer number (40564434960).

Almost surely, 2^{4113402423200} is an apocalyptic number.

4113402423200 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 4113402423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841278634240).

4113402423200 is an abundant number, since it is smaller than the sum of its proper divisors (7569154845280).

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

4113402423200 is a wasteful number, since it uses less digits than its factorization.

4113402423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42440 (or 42427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4113402423200 its reverse (23242043114), we get a palindrome (4136644466314).

The spelling of 4113402423200 in words is "four trillion, one hundred thirteen billion, four hundred two million, four hundred twenty-three thousand, two hundred".