11341627698240 has 840 divisors, whose sum is σ = 48022616549952. Its totient is φ = 2532072130560.

The previous prime is 11341627698179. The next prime is 11341627698241. The reversal of 11341627698240 is 4289672614311.

11341627698240 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 627 + 6 + 9 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11341627698241) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 54509605 + ... + 54717275.

Almost surely, 2^{11341627698240} is an apocalyptic number.

11341627698240 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 11341627698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011308274976).

11341627698240 is an abundant number, since it is smaller than the sum of its proper divisors (36680988851712).

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

11341627698240 is a wasteful number, since it uses less digits than its factorization.

11341627698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207757 (or 207731 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 11341627698240 in words is "eleven trillion, three hundred forty-one billion, six hundred twenty-seven million, six hundred ninety-eight thousand, two hundred forty".