3014414040 has 128 divisors (see below), whose sum is σ = 10294387200. Its totient is φ = 698987520.

The previous prime is 3014414027. The next prime is 3014414093. The reversal of 3014414040 is 404144103.

It is a junction number, because it is equal to n+sod(n) for n = 3014413998 and 3014414016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19285 + ... + 80004.

It is an arithmetic number, because the mean of its divisors is an integer number (80424900).

Almost surely, 2^3014414040 is an apocalyptic number.

3014414040 is a gapful number since it is divisible by the number (30) 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 3014414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147193600).

3014414040 is an abundant number, since it is smaller than the sum of its proper divisors (7279973160).

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

3014414040 is a wasteful number, since it uses less digits than its factorization.

3014414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99337 (or 99333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3014414040 is about 54903.6796581067. The cubic root of 3014414040 is about 1444.5557300102. Note that the first 3 decimals are identical.

Adding to 3014414040 its reverse (404144103), we get a palindrome (3418558143).

The spelling of 3014414040 in words is "three billion, fourteen million, four hundred fourteen thousand, forty".