210404414031 has 64 divisors (see below), whose sum is σ = 330999229440. Its totient is φ = 116404162560.

The previous prime is 210404413997. The next prime is 210404414039. The reversal of 210404414031 is 130414404012.

210404414031 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 210404414031 - 2⁷ = 210404413903 is a prime.

It is a super-2 number, since 2×210404414031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210404413992 and 210404414010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210404414039) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 86194771 + ... + 86197211.

It is an arithmetic number, because the mean of its divisors is an integer number (5171862960).

Almost surely, 2^210404414031 is an apocalyptic number.

210404414031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210404414031 is a deficient number, since it is larger than the sum of its proper divisors (120594815409).

210404414031 is a wasteful number, since it uses less digits than its factorization.

210404414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536.

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

Adding to 210404414031 its reverse (130414404012), we get a palindrome (340818818043).

The spelling of 210404414031 in words is "two hundred ten billion, four hundred four million, four hundred fourteen thousand, thirty-one".