11314867539240 has 256 divisors, whose sum is σ = 37924896729600. Its totient is φ = 3000615321600.

The previous prime is 11314867539229. The next prime is 11314867539253. The reversal of 11314867539240 is 4293576841311.

11314867539240 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 8 + 67 + 539 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731825110 + ... + 731840570.

It is an arithmetic number, because the mean of its divisors is an integer number (148144127850).

It is a 1-persistent number, because it is pandigital, but 2⋅11314867539240 = 22629735078480 is not.

Almost surely, 2^{11314867539240} is an apocalyptic number.

11314867539240 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 11314867539240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962448364800).

11314867539240 is an abundant number, since it is smaller than the sum of its proper divisors (26610029190360).

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

11314867539240 is a wasteful number, since it uses less digits than its factorization.

11314867539240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19185 (or 19175 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11314867539240 in words is "eleven trillion, three hundred fourteen billion, eight hundred sixty-seven million, five hundred thirty-nine thousand, two hundred forty".