40425956710656 has 1152 divisors, whose sum is σ = 130916885299200. Its totient is φ = 10930225152000.

The previous prime is 40425956710631. The next prime is 40425956710703. The reversal of 40425956710656 is 65601765952404.

It is a self number, because there is not a number n which added to its sum of digits gives 40425956710656.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70798522851 + ... + 70798523421.

It is an arithmetic number, because the mean of its divisors is an integer number (113643129600).

Almost surely, 2^{40425956710656} 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 40425956710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65458442649600).

40425956710656 is an abundant number, since it is smaller than the sum of its proper divisors (90490928588544).

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

40425956710656 is a wasteful number, since it uses less digits than its factorization.

40425956710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 40425956710656 in words is "forty trillion, four hundred twenty-five billion, nine hundred fifty-six million, seven hundred ten thousand, six hundred fifty-six".