40884480000000 has 2880 divisors, whose sum is σ = 187385801541120. Its totient is φ = 8626176000000.

The previous prime is 40884479999981. The next prime is 40884480000031. The reversal of 40884480000000 is 8448804.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40884480000000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3144959999994 + ... + 3144960000006.

It is an arithmetic number, because the mean of its divisors is an integer number (65064514424).

Almost surely, 2^{40884480000000} is an apocalyptic number.

40884480000000 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 40884480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93692900770560).

40884480000000 is an abundant number, since it is smaller than the sum of its proper divisors (146501321541120).

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

40884480000000 is an frugal number, since it uses more digits than its factorization.

40884480000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 40884480000000 its reverse (8448804), we get a palindrome (40884488448804).

The spelling of 40884480000000 in words is "forty trillion, eight hundred eighty-four billion, four hundred eighty million", and thus it is an aban number.