40946533564904 has 16 divisors (see below), whose sum is σ = 83754273201120. Its totient is φ = 18612060711280.

The previous prime is 40946533564847. The next prime is 40946533564931.

40946533564904 is nontrivially palindromic in base 10.

40946533564904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40946533564904² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232650758804 + ... + 232650758979.

It is an arithmetic number, because the mean of its divisors is an integer number (5234642075070).

Almost surely, 2^{40946533564904} is an apocalyptic number.

40946533564904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40946533564904 is an abundant number, since it is smaller than the sum of its proper divisors (42807739636216).

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

40946533564904 is a wasteful number, since it uses less digits than its factorization.

40946533564904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465301517800 (or 465301517796 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 62.

The spelling of 40946533564904 in words is "forty trillion, nine hundred forty-six billion, five hundred thirty-three million, five hundred sixty-four thousand, nine hundred four".