11431412312320 has 864 divisors, whose sum is σ = 37833238324224. Its totient is φ = 3218793431040.

The previous prime is 11431412312297. The next prime is 11431412312393. The reversal of 11431412312320 is 2321321413411.

It is a super-2 number, since 2×11431412312320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662413132 + ... + 662430388.

Almost surely, 2^{11431412312320} is an apocalyptic number.

11431412312320 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 11431412312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916619162112).

11431412312320 is an abundant number, since it is smaller than the sum of its proper divisors (26401826011904).

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

11431412312320 is a wasteful number, since it uses less digits than its factorization.

11431412312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17367 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11431412312320 its reverse (2321321413411), we get a palindrome (13752733725731).

The spelling of 11431412312320 in words is "eleven trillion, four hundred thirty-one billion, four hundred twelve million, three hundred twelve thousand, three hundred twenty".