11916468040 has 64 divisors (see below), whose sum is σ = 27013896000. Its totient is φ = 4730814720.

The previous prime is 11916468037. The next prime is 11916468043. The reversal of 11916468040 is 4086461911.

11916468040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11916468037) and next prime (11916468043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11916467984 and 11916468002.

It is not an unprimeable number, because it can be changed into a prime (11916468043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4480231 + ... + 4482889.

It is an arithmetic number, because the mean of its divisors is an integer number (422092125).

Almost surely, 2^11916468040 is an apocalyptic number.

11916468040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11916468040 is an abundant number, since it is smaller than the sum of its proper divisors (15097427960).

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

11916468040 is a wasteful number, since it uses less digits than its factorization.

11916468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 11916468040 in words is "eleven billion, nine hundred sixteen million, four hundred sixty-eight thousand, forty".