40965128568 has 336 divisors, whose sum is σ = 144281639880. Its totient is φ = 10803010176.

The previous prime is 40965128563. The next prime is 40965128597. The reversal of 40965128568 is 86582156904.

40965128568 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 51 + 28 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40965128563) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3709471 + ... + 3720497.

Almost surely, 2^40965128568 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 40965128568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72140819940).

40965128568 is an abundant number, since it is smaller than the sum of its proper divisors (103316511312).

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

40965128568 is a wasteful number, since it uses less digits than its factorization.

40965128568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11078 (or 11052 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 40965128568 in words is "forty billion, nine hundred sixty-five million, one hundred twenty-eight thousand, five hundred sixty-eight".