40711728128 has 88 divisors (see below), whose sum is σ = 85062970368. Its totient is φ = 19438555136.

The previous prime is 40711728121. The next prime is 40711728131. The reversal of 40711728128 is 82182711704.

It is not an unprimeable number, because it can be changed into a prime (40711728121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20324375 + ... + 20326377.

Almost surely, 2^40711728128 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 40711728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42531485184).

40711728128 is an abundant number, since it is smaller than the sum of its proper divisors (44351242240).

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

40711728128 is a wasteful number, since it uses less digits than its factorization.

40711728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 41.

The spelling of 40711728128 in words is "forty billion, seven hundred eleven million, seven hundred twenty-eight thousand, one hundred twenty-eight".