40040888080000 has 320 divisors, whose sum is σ = 101696381740800. Its totient is φ = 15694009344000.

The previous prime is 40040888079937. The next prime is 40040888080001. The reversal of 40040888080000 is 8088804004.

40040888080000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40040888080001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1477346449 + ... + 1477373551.

It is an arithmetic number, because the mean of its divisors is an integer number (317801192940).

Almost surely, 2^{40040888080000} is an apocalyptic number.

40040888080000 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 40040888080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848190870400).

40040888080000 is an abundant number, since it is smaller than the sum of its proper divisors (61655493660800).

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

40040888080000 is an equidigital number, since it uses as much as digits as its factorization.

40040888080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27509 (or 27482 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 40040888080000 in words is "forty trillion, forty billion, eight hundred eighty-eight million, eighty thousand".