4014419040 has 144 divisors (see below), whose sum is σ = 13769028000. Its totient is φ = 1065056256.

The previous prime is 4014419027. The next prime is 4014419051. The reversal of 4014419040 is 409144104.

4014419040 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 (144).

It is a super-2 number, since 2×4014419040² = 32231120457429043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014418995 and 4014419013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279556 + ... + 293564.

It is an arithmetic number, because the mean of its divisors is an integer number (95618250).

Almost surely, 2^4014419040 is an apocalyptic number.

4014419040 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 4014419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884514000).

4014419040 is an abundant number, since it is smaller than the sum of its proper divisors (9754608960).

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

4014419040 is a wasteful number, since it uses less digits than its factorization.

4014419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14229 (or 14218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4014419040 is about 63359.4431793715. The cubic root of 4014419040 is about 1589.3061645794.

The spelling of 4014419040 in words is "four billion, fourteen million, four hundred nineteen thousand, forty".