40488840080000 has 320 divisors, whose sum is σ = 108699194123520. Its totient is φ = 14928883200000.

The previous prime is 40488840079979. The next prime is 40488840080009. The reversal of 40488840080000 is 8004888404.

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 (40488840080009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 756053225 + ... + 756106775.

It is an arithmetic number, because the mean of its divisors is an integer number (339684981636).

Almost surely, 2^{40488840080000} is an apocalyptic number.

40488840080000 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 40488840080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54349597061760).

40488840080000 is an abundant number, since it is smaller than the sum of its proper divisors (68210354043520).

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

40488840080000 is an equidigital number, since it uses as much as digits as its factorization.

40488840080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54325 (or 54298 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 40488840080000 in words is "forty trillion, four hundred eighty-eight billion, eight hundred forty million, eighty thousand".