4114004010 has 32 divisors (see below), whose sum is σ = 9930695040. Its totient is φ = 1090724928.

The previous prime is 4114003981. The next prime is 4114004021. The reversal of 4114004010 is 104004114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 391150 + ... + 401529.

It is an arithmetic number, because the mean of its divisors is an integer number (310334220).

Almost surely, 2^4114004010 is an apocalyptic number.

4114004010 is an abundant number, since it is smaller than the sum of its proper divisors (5816691030).

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

4114004010 is a wasteful number, since it uses less digits than its factorization.

4114004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792862.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4114004010 is about 64140.5021028055. The cubic root of 4114004010 is about 1602.3408457410.

Adding to 4114004010 its reverse (104004114), we get a palindrome (4218008124).

The spelling of 4114004010 in words is "four billion, one hundred fourteen million, four thousand, ten".