4114345600512 has 480 divisors, whose sum is σ = 13882123487232. Its totient is φ = 1148625764352.

The previous prime is 4114345600487. The next prime is 4114345600523. The reversal of 4114345600512 is 2150065434114.

4114345600512 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 3 + 45 + 600 + 5 + 1 + 2 = 666.

4114345600512 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 (36).

It is a congruent number.

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, 1102153398 + ... + 1102157130.

Almost surely, 2^{4114345600512} is an apocalyptic number.

4114345600512 is a gapful number since it is divisible by the number (42) 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 4114345600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941061743616).

4114345600512 is an abundant number, since it is smaller than the sum of its proper divisors (9767777886720).

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

4114345600512 is a wasteful number, since it uses less digits than its factorization.

4114345600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4114345600512 in words is "four trillion, one hundred fourteen billion, three hundred forty-five million, six hundred thousand, five hundred twelve".