4114539108000 has 1152 divisors, whose sum is σ = 15542643916800. Its totient is φ = 1029176064000.

The previous prime is 4114539107983. The next prime is 4114539108059. The reversal of 4114539108000 is 8019354114.

4114539108000 is a `hidden beast` number, since 4 + 1 + 14 + 539 + 108 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4114539108000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8589851761 + ... + 8589852239.

It is an arithmetic number, because the mean of its divisors is an integer number (13491878400).

Almost surely, 2^{4114539108000} is an apocalyptic number.

4114539108000 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 4114539108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771321958400).

4114539108000 is an abundant number, since it is smaller than the sum of its proper divisors (11428104808800).

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

4114539108000 is a wasteful number, since it uses less digits than its factorization.

4114539108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 4114539108000 in words is "four trillion, one hundred fourteen billion, five hundred thirty-nine million, one hundred eight thousand".