10435131340 has 48 divisors (see below), whose sum is σ = 22642873344. Its totient is φ = 4035441600.

The previous prime is 10435131319. The next prime is 10435131367. The reversal of 10435131340 is 4313153401.

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 15 ways as a sum of consecutive naturals, for example, 668707 + ... + 684133.

It is an arithmetic number, because the mean of its divisors is an integer number (471726528).

Almost surely, 2^10435131340 is an apocalyptic number.

10435131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10435131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321436672).

10435131340 is an abundant number, since it is smaller than the sum of its proper divisors (12207742004).

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

10435131340 is a wasteful number, since it uses less digits than its factorization.

10435131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16558 (or 16556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10435131340 its reverse (4313153401), we get a palindrome (14748284741).

The spelling of 10435131340 in words is "ten billion, four hundred thirty-five million, one hundred thirty-one thousand, three hundred forty".