1231135345440 has 1152 divisors, whose sum is σ = 5674593480192. Its totient is φ = 234729308160.

The previous prime is 1231135345357. The next prime is 1231135345459. The reversal of 1231135345440 is 445435311321.

1231135345440 is a `hidden beast` number, since 1 + 2 + 3 + 113 + 53 + 454 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1231135345395 and 1231135345404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249366652 + ... + 249371588.

It is an arithmetic number, because the mean of its divisors is an integer number (4925862396).

Almost surely, 2^{1231135345440} is an apocalyptic number.

1231135345440 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 1231135345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837296740096).

1231135345440 is an abundant number, since it is smaller than the sum of its proper divisors (4443458134752).

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

1231135345440 is a wasteful number, since it uses less digits than its factorization.

1231135345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1231135345440 in words is "one trillion, two hundred thirty-one billion, one hundred thirty-five million, three hundred forty-five thousand, four hundred forty".