4114627125120 has 288 divisors, whose sum is σ = 14411359249560. Its totient is φ = 1081772267520.

The previous prime is 4114627125083. The next prime is 4114627125131. The reversal of 4114627125120 is 215217264114.

4114627125120 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 627 + 1 + 2 + 5 + 1 + 20 = 666.

4114627125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4114627125120² (a number of 26 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 28965307 + ... + 29107013.

Almost surely, 2^{4114627125120} is an apocalyptic number.

4114627125120 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 4114627125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205679624780).

4114627125120 is an abundant number, since it is smaller than the sum of its proper divisors (10296732124440).

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

4114627125120 is a wasteful number, since it uses less digits than its factorization.

4114627125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141874 (or 141788 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 4114627125120 in words is "four trillion, one hundred fourteen billion, six hundred twenty-seven million, one hundred twenty-five thousand, one hundred twenty".