11665406340 has 288 divisors, whose sum is σ = 42348773376. Its totient is φ = 2541369600.

The previous prime is 11665406321. The next prime is 11665406353. The reversal of 11665406340 is 4360456611.

It is a happy number.

11665406340 is a `hidden beast` number, since 1 + 16 + 6 + 5 + 4 + 0 + 634 + 0 = 666.

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 = 11665406295 and 11665406304.

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, 11098815 + ... + 11099865.

It is an arithmetic number, because the mean of its divisors is an integer number (147044352).

Almost surely, 2^11665406340 is an apocalyptic number.

11665406340 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 11665406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174386688).

11665406340 is an abundant number, since it is smaller than the sum of its proper divisors (30683367036).

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

11665406340 is a wasteful number, since it uses less digits than its factorization.

11665406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11665406340 in words is "eleven billion, six hundred sixty-five million, four hundred six thousand, three hundred forty".