40845181440 has 320 divisors, whose sum is σ = 149932975104. Its totient is φ = 9292136448.

The previous prime is 40845181423. The next prime is 40845181441. The reversal of 40845181440 is 4418154804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (40845181441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12201847 + ... + 12205193.

Almost surely, 2^40845181440 is an apocalyptic number.

40845181440 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 40845181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74966487552).

40845181440 is an abundant number, since it is smaller than the sum of its proper divisors (109087793664).

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

40845181440 is a wasteful number, since it uses less digits than its factorization.

40845181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 40845181440 in words is "forty billion, eight hundred forty-five million, one hundred eighty-one thousand, four hundred forty".