40480444408404 has 192 divisors, whose sum is σ = 130247418857472. Its totient is φ = 9443287411200.

The previous prime is 40480444408381. The next prime is 40480444408447.

40480444408404 is nontrivially palindromic in base 10.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 45096102 + ... + 45984989.

It is an arithmetic number, because the mean of its divisors is an integer number (678371973216).

Almost surely, 2^{40480444408404} is an apocalyptic number.

40480444408404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40480444408404 is an abundant number, since it is smaller than the sum of its proper divisors (89766974449068).

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

40480444408404 is a wasteful number, since it uses less digits than its factorization.

40480444408404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91081166 (or 91081164 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

The spelling of 40480444408404 in words is "forty trillion, four hundred eighty billion, four hundred forty-four million, four hundred eight thousand, four hundred four".