40960526112 has 144 divisors (see below), whose sum is σ = 128967969312. Its totient is φ = 12226959360.

The previous prime is 40960526111. The next prime is 40960526129. The reversal of 40960526112 is 21162506904.

40960526112 is a `hidden beast` number, since 40 + 9 + 605 + 2 + 6 + 1 + 1 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (40960526111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115768 + ... + 308744.

It is an arithmetic number, because the mean of its divisors is an integer number (895610898).

Almost surely, 2^40960526112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40960526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64483984656).

40960526112 is an abundant number, since it is smaller than the sum of its proper divisors (88007443200).

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

40960526112 is a wasteful number, since it uses less digits than its factorization.

40960526112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193071 (or 193060 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40960526112 in words is "forty billion, nine hundred sixty million, five hundred twenty-six thousand, one hundred twelve".