11405431312420 has 96 divisors (see below), whose sum is σ = 25462837838592. Its totient is φ = 4276472537088.

The previous prime is 11405431312343. The next prime is 11405431312439. The reversal of 11405431312420 is 2421313450411.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135338737 + ... + 135422983.

It is an arithmetic number, because the mean of its divisors is an integer number (265237894152).

Almost surely, 2^{11405431312420} is an apocalyptic number.

11405431312420 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 11405431312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731418919296).

11405431312420 is an abundant number, since it is smaller than the sum of its proper divisors (14057406526172).

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

11405431312420 is a wasteful number, since it uses less digits than its factorization.

11405431312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85877 (or 85875 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 11405431312420 its reverse (2421313450411), we get a palindrome (13826744762831).

The spelling of 11405431312420 in words is "eleven trillion, four hundred five billion, four hundred thirty-one million, three hundred twelve thousand, four hundred twenty".