40002208964800 has 168 divisors, whose sum is σ = 103631776673040. Its totient is φ = 15155689881600.

The previous prime is 40002208964797. The next prime is 40002208964801. The reversal of 40002208964800 is 846980220004.

It is not an unprimeable number, because it can be changed into a prime (40002208964801) 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 23 ways as a sum of consecutive naturals, for example, 154332912 + ... + 154591888.

It is an arithmetic number, because the mean of its divisors is an integer number (616855813530).

Almost surely, 2^{40002208964800} is an apocalyptic number.

40002208964800 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 40002208964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51815888336520).

40002208964800 is an abundant number, since it is smaller than the sum of its proper divisors (63629567708240).

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

40002208964800 is a wasteful number, since it uses less digits than its factorization.

40002208964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264099 (or 264084 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 40002208964800 in words is "forty trillion, two billion, two hundred eight million, nine hundred sixty-four thousand, eight hundred".