40121434323234 has 192 divisors, whose sum is σ = 96975730051200. Its totient is φ = 11884972170240.

The previous prime is 40121434323203. The next prime is 40121434323259. The reversal of 40121434323234 is 43232343412104.

40121434323234 is a `hidden beast` number, since 4 + 0 + 1 + 214 + 3 + 432 + 3 + 2 + 3 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5577840742 + ... + 5577847934.

It is an arithmetic number, because the mean of its divisors is an integer number (505081927350).

Almost surely, 2^{40121434323234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40121434323234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48487865025600).

40121434323234 is an abundant number, since it is smaller than the sum of its proper divisors (56854295727966).

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

40121434323234 is a wasteful number, since it uses less digits than its factorization.

40121434323234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 40121434323234 its reverse (43232343412104), we get a palindrome (83353777735338).

The spelling of 40121434323234 in words is "forty trillion, one hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-three thousand, two hundred thirty-four".