4114854144 has 54 divisors (see below), whose sum is σ = 11864145566. Its totient is φ = 1371617280.

The previous prime is 4114854127. The next prime is 4114854193. The reversal of 4114854144 is 4414584114.

It can be written as a sum of positive squares in only one way, i.e., 4081676544 + 33177600 = 63888^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4114854099 and 4114854108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 890677 + ... + 895284.

Almost surely, 2^4114854144 is an apocalyptic number.

It is an amenable number.

4114854144 is an abundant number, since it is smaller than the sum of its proper divisors (7749291422).

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

4114854144 is a wasteful number, since it uses less digits than its factorization.

4114854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785983 (or 1785966 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 4114854144 is about 64147.1288835284. The cubic root of 4114854144 is about 1602.4512094815.

The spelling of 4114854144 in words is "four billion, one hundred fourteen million, eight hundred fifty-four thousand, one hundred forty-four".