40968614880 has 144 divisors (see below), whose sum is σ = 139858415424. Its totient is φ = 10920821760.

The previous prime is 40968614873. The next prime is 40968614887. The reversal of 40968614880 is 8841686904.

40968614880 is a `hidden beast` number, since 40 + 9 + 68 + 61 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40968614873) and next prime (40968614887).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40968614887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6607942 + ... + 6614138.

It is an arithmetic number, because the mean of its divisors is an integer number (971238996).

Almost surely, 2^40968614880 is an apocalyptic number.

40968614880 is a gapful number since it is divisible by the number (40) 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 40968614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69929207712).

40968614880 is an abundant number, since it is smaller than the sum of its proper divisors (98889800544).

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

40968614880 is a wasteful number, since it uses less digits than its factorization.

40968614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 40968614880 in words is "forty billion, nine hundred sixty-eight million, six hundred fourteen thousand, eight hundred eighty".