4114004240 has 40 divisors (see below), whose sum is σ = 9592689600. Its totient is φ = 1640848256.

The previous prime is 4114004239. The next prime is 4114004249. The reversal of 4114004240 is 424004114.

It is a happy number.

4114004240 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4114004249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46340 + ... + 101859.

It is an arithmetic number, because the mean of its divisors is an integer number (239817240).

Almost surely, 2^4114004240 is an apocalyptic number.

4114004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114004240 is an abundant number, since it is smaller than the sum of its proper divisors (5478685360).

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

4114004240 is a wasteful number, since it uses less digits than its factorization.

4114004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148559 (or 148553 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4114004240 is about 64140.5038957444. The cubic root of 4114004240 is about 1602.3408756015.

Adding to 4114004240 its reverse (424004114), we get a palindrome (4538008354).

The spelling of 4114004240 in words is "four billion, one hundred fourteen million, four thousand, two hundred forty".