2114400041 has 16 divisors (see below), whose sum is σ = 2414304144. Its totient is φ = 1834420224.

The previous prime is 2114400031. The next prime is 2114400061. The reversal of 2114400041 is 1400044112.

It can be written as a sum of positive squares in 8 ways, for example, as 545923225 + 1568476816 = 23365^2 + 39604^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2114400041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2114399992 and 2114400019.

It is not an unprimeable number, because it can be changed into a prime (2114400031) by changing a digit.

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, 164645 + ... + 177021.

It is an arithmetic number, because the mean of its divisors is an integer number (150894009).

Almost surely, 2^2114400041 is an apocalyptic number.

It is an amenable number.

2114400041 is a deficient number, since it is larger than the sum of its proper divisors (299904103).

2114400041 is a wasteful number, since it uses less digits than its factorization.

2114400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2114400041 is about 45982.6058526482. The cubic root of 2114400041 is about 1283.4995463734.

Adding to 2114400041 its reverse (1400044112), we get a palindrome (3514444153).

The spelling of 2114400041 in words is "two billion, one hundred fourteen million, four hundred thousand, forty-one".