10431340403010 has 128 divisors (see below), whose sum is σ = 26420051902464. Its totient is φ = 2631947834880.

The previous prime is 10431340402933. The next prime is 10431340403039. The reversal of 10431340403010 is 1030404313401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42144174 + ... + 42390966.

It is an arithmetic number, because the mean of its divisors is an integer number (206406655488).

Almost surely, 2^{10431340403010} is an apocalyptic number.

10431340403010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431340403010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210025951232).

10431340403010 is an abundant number, since it is smaller than the sum of its proper divisors (15988711499454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10431340403010 is a wasteful number, since it uses less digits than its factorization.

10431340403010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247848.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10431340403010 its reverse (1030404313401), we get a palindrome (11461744716411).

The spelling of 10431340403010 in words is "ten trillion, four hundred thirty-one billion, three hundred forty million, four hundred three thousand, ten".