11864701440 has 240 divisors, whose sum is σ = 41415001056. Its totient is φ = 3138969600.

The previous prime is 11864701439. The next prime is 11864701447. The reversal of 11864701440 is 4410746811.

11864701440 is a `hidden beast` number, since 1 + 1 + 8 + 647 + 0 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11864701440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11864701395 and 11864701404.

It is not an unprimeable number, because it can be changed into a prime (11864701447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016275 + ... + 3020205.

Almost surely, 2^11864701440 is an apocalyptic number.

11864701440 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 11864701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707500528).

11864701440 is an abundant number, since it is smaller than the sum of its proper divisors (29550299616).

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

11864701440 is a wasteful number, since it uses less digits than its factorization.

11864701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11864701440 in words is "eleven billion, eight hundred sixty-four million, seven hundred one thousand, four hundred forty".