4114340412000 has 768 divisors, whose sum is σ = 16614174560256. Its totient is φ = 866764800000.

The previous prime is 4114340411969. The next prime is 4114340412037. The reversal of 4114340412000 is 2140434114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 831009525 + ... + 831014475.

It is an arithmetic number, because the mean of its divisors is an integer number (21633039792).

Almost surely, 2^{4114340412000} is an apocalyptic number.

4114340412000 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 4114340412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307087280128).

4114340412000 is an abundant number, since it is smaller than the sum of its proper divisors (12499834148256).

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

4114340412000 is a wasteful number, since it uses less digits than its factorization.

4114340412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4114340412000 its reverse (2140434114), we get a palindrome (4116480846114).

The spelling of 4114340412000 in words is "four trillion, one hundred fourteen billion, three hundred forty million, four hundred twelve thousand".