11841811354240 has 768 divisors, whose sum is σ = 34876074355200. Its totient is φ = 3759119400960.

The previous prime is 11841811354237. The next prime is 11841811354253. The reversal of 11841811354240 is 4245311814811.

It is a happy number.

It is a super-2 number, since 2×11841811354240² (a number of 27 digits) contains 22 as substring.

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, 38076563685 + ... + 38076563995.

It is an arithmetic number, because the mean of its divisors is an integer number (45411555150).

Almost surely, 2^{11841811354240} is an apocalyptic number.

11841811354240 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 11841811354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438037177600).

11841811354240 is an abundant number, since it is smaller than the sum of its proper divisors (23034263000960).

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

11841811354240 is an equidigital number, since it uses as much as digits as its factorization.

11841811354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 11841811354240 in words is "eleven trillion, eight hundred forty-one billion, eight hundred eleven million, three hundred fifty-four thousand, two hundred forty".