2114404034001 has 32 divisors (see below), whose sum is σ = 3312348906240. Its totient is φ = 1174396444416.

The previous prime is 2114404033969. The next prime is 2114404034009. The reversal of 2114404034001 is 1004304044112.

It is not a de Polignac number, because 2114404034001 - 2⁵ = 2114404033969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114404034009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590046 + ... + 2139383.

It is an arithmetic number, because the mean of its divisors is an integer number (103510903320).

Almost surely, 2^{2114404034001} is an apocalyptic number.

2114404034001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2114404034001 is a deficient number, since it is larger than the sum of its proper divisors (1197944872239).

2114404034001 is a wasteful number, since it uses less digits than its factorization.

2114404034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730473.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2114404034001 its reverse (1004304044112), we get a palindrome (3118708078113).

The spelling of 2114404034001 in words is "two trillion, one hundred fourteen billion, four hundred four million, thirty-four thousand, one".