40229443883200 has 672 divisors, whose sum is σ = 119133424472832. Its totient is φ = 13174769664000.

The previous prime is 40229443883191. The next prime is 40229443883219. The reversal of 40229443883200 is 238834492204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11933977515 + ... + 11933980885.

It is an arithmetic number, because the mean of its divisors is an integer number (177281881656).

Almost surely, 2^{40229443883200} is an apocalyptic number.

40229443883200 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 40229443883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59566712236416).

40229443883200 is an abundant number, since it is smaller than the sum of its proper divisors (78903980589632).

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

40229443883200 is a wasteful number, since it uses less digits than its factorization.

40229443883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 40229443883200 in words is "forty trillion, two hundred twenty-nine billion, four hundred forty-three million, eight hundred eighty-three thousand, two hundred".