11342045540240 has 80 divisors (see below), whose sum is σ = 26527760137008. Its totient is φ = 4509730756608.

The previous prime is 11342045540171. The next prime is 11342045540257. The reversal of 11342045540240 is 4204554024311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 899530846096 + 10442514694144 = 948436^2 + 3231488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11342045540240.

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 15 ways as a sum of consecutive naturals, for example, 74840222 + ... + 74991618.

Almost surely, 2^{11342045540240} is an apocalyptic number.

11342045540240 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 11342045540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263880068504).

11342045540240 is an abundant number, since it is smaller than the sum of its proper divisors (15185714596768).

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

11342045540240 is a wasteful number, since it uses less digits than its factorization.

11342045540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156996 (or 156990 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 11342045540240 its reverse (4204554024311), we get a palindrome (15546599564551).

The spelling of 11342045540240 in words is "eleven trillion, three hundred forty-two billion, forty-five million, five hundred forty thousand, two hundred forty".