11726468874240 has 544 divisors, whose sum is σ = 40295411283456. Its totient is φ = 2901367848960.

The previous prime is 11726468874209. The next prime is 11726468874277. The reversal of 11726468874240 is 4247886462711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186524339 + ... + 1186534221.

Almost surely, 2^{11726468874240} is an apocalyptic number.

11726468874240 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 11726468874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147705641728).

11726468874240 is an abundant number, since it is smaller than the sum of its proper divisors (28568942409216).

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

11726468874240 is an frugal number, since it uses more digits than its factorization.

11726468874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 11726468874240 in words is "eleven trillion, seven hundred twenty-six billion, four hundred sixty-eight million, eight hundred seventy-four thousand, two hundred forty".