4113111412000 has 192 divisors, whose sum is σ = 11004631747200. Its totient is φ = 1504905292800.

The previous prime is 4113111411961. The next prime is 4113111412013. The reversal of 4113111412000 is 2141113114.

4113111412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270899 + ... + 3137101.

It is an arithmetic number, because the mean of its divisors is an integer number (57315790350).

Almost surely, 2^{4113111412000} is an apocalyptic number.

4113111412000 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 4113111412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502315873600).

4113111412000 is an abundant number, since it is smaller than the sum of its proper divisors (6891520335200).

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

4113111412000 is a wasteful number, since it uses less digits than its factorization.

4113111412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866276 (or 1866258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 4113111412000 its reverse (2141113114), we get a palindrome (4115252525114).

The spelling of 4113111412000 in words is "four trillion, one hundred thirteen billion, one hundred eleven million, four hundred twelve thousand".