11396042766144 has 672 divisors, whose sum is σ = 36101464439040. Its totient is φ = 3420993945600.

The previous prime is 11396042766139. The next prime is 11396042766169. The reversal of 11396042766144 is 44166724069311.

It is a happy number.

11396042766144 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 604 + 27 + 6 + 6 + 1 + 4 + 4 = 666.

It is a congruent number.

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, 24720266074 + ... + 24720266534.

It is an arithmetic number, because the mean of its divisors is an integer number (53722417320).

Almost surely, 2^{11396042766144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11396042766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050732219520).

11396042766144 is an abundant number, since it is smaller than the sum of its proper divisors (24705421672896).

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

11396042766144 is a wasteful number, since it uses less digits than its factorization.

11396042766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 11396042766144 in words is "eleven trillion, three hundred ninety-six billion, forty-two million, seven hundred sixty-six thousand, one hundred forty-four".