4113040102200 has 384 divisors, whose sum is σ = 14507933932800. Its totient is φ = 1070466485760.

The previous prime is 4113040102177. The next prime is 4113040102253. The reversal of 4113040102200 is 22010403114.

4113040102200 is a `hidden beast` number, since 4 + 11 + 30 + 401 + 0 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331343194 + ... + 331355606.

It is an arithmetic number, because the mean of its divisors is an integer number (37781077950).

Almost surely, 2^{4113040102200} is an apocalyptic number.

4113040102200 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 4113040102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253966966400).

4113040102200 is an abundant number, since it is smaller than the sum of its proper divisors (10394893830600).

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

4113040102200 is a wasteful number, since it uses less digits than its factorization.

4113040102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4113040102200 its reverse (22010403114), we get a palindrome (4135050505314).

The spelling of 4113040102200 in words is "four trillion, one hundred thirteen billion, forty million, one hundred two thousand, two hundred".