11734014240 has 384 divisors, whose sum is σ = 45431608320. Its totient is φ = 2809810944.

The previous prime is 11734014239. The next prime is 11734014269. The reversal of 11734014240 is 4241043711.

11734014240 is a `hidden beast` number, since 1 + 17 + 3 + 401 + 4 + 240 = 666.

11734014240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2075097 + ... + 2080743.

It is an arithmetic number, because the mean of its divisors is an integer number (118311480).

Almost surely, 2^11734014240 is an apocalyptic number.

11734014240 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 11734014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715804160).

11734014240 is an abundant number, since it is smaller than the sum of its proper divisors (33697594080).

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

11734014240 is a wasteful number, since it uses less digits than its factorization.

11734014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11734014240 its reverse (4241043711), we get a palindrome (15975057951).

The spelling of 11734014240 in words is "eleven billion, seven hundred thirty-four million, fourteen thousand, two hundred forty".