5210414400001 has 32 divisors (see below), whose sum is σ = 5694360376320. Its totient is φ = 4754400537600.

The previous prime is 5210414399977. The next prime is 5210414400041. The reversal of 5210414400001 is 1000044140125.

It is a cyclic number.

It is not a de Polignac number, because 5210414400001 - 2⁷ = 5210414399873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5210414400041) 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 31 ways as a sum of consecutive naturals, for example, 354129421 + ... + 354144133.

It is an arithmetic number, because the mean of its divisors is an integer number (177948761760).

Almost surely, 2^{5210414400001} is an apocalyptic number.

It is an amenable number.

5210414400001 is a deficient number, since it is larger than the sum of its proper divisors (483945976319).

5210414400001 is a wasteful number, since it uses less digits than its factorization.

5210414400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23977.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 5210414400001 its reverse (1000044140125), we get a palindrome (6210458540126).

The spelling of 5210414400001 in words is "five trillion, two hundred ten billion, four hundred fourteen million, four hundred thousand, one".