11304314410240 has 144 divisors (see below), whose sum is σ = 28344935904768. Its totient is φ = 4311307173888.

The previous prime is 11304314410237. The next prime is 11304314410243. The reversal of 11304314410240 is 4201441340311.

It is an interprime number because it is at equal distance from previous prime (11304314410237) and next prime (11304314410243).

It is a super-3 number, since 3×11304314410240³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304314410199 and 11304314410208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304314410243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8601337 + ... + 9828103.

It is an arithmetic number, because the mean of its divisors is an integer number (196839832672).

Almost surely, 2^{11304314410240} is an apocalyptic number.

11304314410240 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 11304314410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172467952384).

11304314410240 is an abundant number, since it is smaller than the sum of its proper divisors (17040621494528).

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

11304314410240 is a wasteful number, since it uses less digits than its factorization.

11304314410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227124 (or 1227110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11304314410240 its reverse (4201441340311), we get a palindrome (15505755750551).

The spelling of 11304314410240 in words is "eleven trillion, three hundred four billion, three hundred fourteen million, four hundred ten thousand, two hundred forty".