11404301340330 has 192 divisors, whose sum is σ = 31204409932800. Its totient is φ = 2884169384448.

The previous prime is 11404301340301. The next prime is 11404301340379. The reversal of 11404301340330 is 3304310340411.

11404301340330 is a `hidden beast` number, since 1 + 14 + 0 + 4 + 301 + 340 + 3 + 3 + 0 = 666.

11404301340330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11404301340330² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11404301340294 and 11404301340303.

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, 171762319 + ... + 171828701.

It is an arithmetic number, because the mean of its divisors is an integer number (162522968400).

Almost surely, 2^{11404301340330} is an apocalyptic number.

11404301340330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404301340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602204966400).

11404301340330 is an abundant number, since it is smaller than the sum of its proper divisors (19800108592470).

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

11404301340330 is a wasteful number, since it uses less digits than its factorization.

11404301340330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67125 (or 67122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11404301340330 its reverse (3304310340411), we get a palindrome (14708611680741).

The spelling of 11404301340330 in words is "eleven trillion, four hundred four billion, three hundred one million, three hundred forty thousand, three hundred thirty".