2434400034001 has 12 divisors (see below), whose sum is σ = 2774806644720. Its totient is φ = 2128868043120.

The previous prime is 2434400033977. The next prime is 2434400034023. The reversal of 2434400034001 is 1004300044342.

2434400034001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2434400034001 - 2¹¹ = 2434400031953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2434400037001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379068735 + ... + 379075156.

It is an arithmetic number, because the mean of its divisors is an integer number (231233887060).

Almost surely, 2^{2434400034001} is an apocalyptic number.

It is an amenable number.

2434400034001 is a deficient number, since it is larger than the sum of its proper divisors (340406610719).

2434400034001 is a wasteful number, since it uses less digits than its factorization.

2434400034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758143936 (or 758143923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2434400034001 its reverse (1004300044342), we get a palindrome (3438700078343).

The spelling of 2434400034001 in words is "two trillion, four hundred thirty-four billion, four hundred million, thirty-four thousand, one".