4002100414 has 32 divisors (see below), whose sum is σ = 6571141920. Its totient is φ = 1816860672.

The previous prime is 4002100367. The next prime is 4002100447. The reversal of 4002100414 is 4140012004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617082 + ... + 1619554.

It is an arithmetic number, because the mean of its divisors is an integer number (205348185).

Almost surely, 2^4002100414 is an apocalyptic number.

4002100414 is a deficient number, since it is larger than the sum of its proper divisors (2569041506).

4002100414 is a wasteful number, since it uses less digits than its factorization.

4002100414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4002100414 is about 63262.1562547468. The cubic root of 4002100414 is about 1587.6788532985.

Adding to 4002100414 its reverse (4140012004), we get a palindrome (8142112418).

The spelling of 4002100414 in words is "four billion, two million, one hundred thousand, four hundred fourteen".