40965580644352 has 1344 divisors, whose sum is σ = 112956197760000. Its totient is φ = 14672716627968.

The previous prime is 40965580644337. The next prime is 40965580644353. The reversal of 40965580644352 is 25344608556904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40965580644353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274936782774 + ... + 274936782922.

It is an arithmetic number, because the mean of its divisors is an integer number (84044790000).

Almost surely, 2^{40965580644352} 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 40965580644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56478098880000).

40965580644352 is an abundant number, since it is smaller than the sum of its proper divisors (71990617115648).

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

40965580644352 is a wasteful number, since it uses less digits than its factorization.

40965580644352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 61.

The spelling of 40965580644352 in words is "forty trillion, nine hundred sixty-five billion, five hundred eighty million, six hundred forty-four thousand, three hundred fifty-two".