11954684040 has 128 divisors (see below), whose sum is σ = 39199628160. Its totient is φ = 2898745344.

The previous prime is 11954684009. The next prime is 11954684059. The reversal of 11954684040 is 4048645911.

It is a junction number, because it is equal to n+sod(n) for n = 11954683983 and 11954684001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47332 + ... + 161708.

It is an arithmetic number, because the mean of its divisors is an integer number (306247095).

Almost surely, 2^11954684040 is an apocalyptic number.

11954684040 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 11954684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19599814080).

11954684040 is an abundant number, since it is smaller than the sum of its proper divisors (27244944120).

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

11954684040 is a wasteful number, since it uses less digits than its factorization.

11954684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114471 (or 114467 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 11954684040 in words is "eleven billion, nine hundred fifty-four million, six hundred eighty-four thousand, forty".