40205544040968 has 48 divisors (see below), whose sum is σ = 105074035263120. Its totient is φ = 12819158965536.

The previous prime is 40205544040931. The next prime is 40205544040979. The reversal of 40205544040968 is 86904044550204.

It is a self number, because there is not a number n which added to its sum of digits gives 40205544040968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1583381446 + ... + 1583406837.

It is an arithmetic number, because the mean of its divisors is an integer number (2189042401315).

Almost surely, 2^{40205544040968} is an apocalyptic number.

It is an amenable number.

40205544040968 is an abundant number, since it is smaller than the sum of its proper divisors (64868491222152).

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

40205544040968 is a wasteful number, since it uses less digits than its factorization.

40205544040968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166788338 (or 3166788311 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 40205544040968 in words is "forty trillion, two hundred five billion, five hundred forty-four million, forty thousand, nine hundred sixty-eight".