40480508989440 has 2080 divisors, whose sum is σ = 161197084008576. Its totient is φ = 9655796367360.

The previous prime is 40480508989411. The next prime is 40480508989441. The reversal of 40480508989440 is 4498980508404.

40480508989440 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 0 + 508 + 9 + 89 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40480508989441) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 122297610075 + ... + 122297610405.

Almost surely, 2^{40480508989440} is an apocalyptic number.

40480508989440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40480508989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80598542004288).

40480508989440 is an abundant number, since it is smaller than the sum of its proper divisors (120716575019136).

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

40480508989440 is a wasteful number, since it uses less digits than its factorization.

40480508989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 40480508989440 in words is "forty trillion, four hundred eighty billion, five hundred eight million, nine hundred eighty-nine thousand, four hundred forty".