40204585050168 has 256 divisors, whose sum is σ = 126423850291200. Its totient is φ = 10350558397440.

The previous prime is 40204585050167. The next prime is 40204585050173. The reversal of 40204585050168 is 86105058540204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40204585050167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101355196 + ... + 101751092.

It is an arithmetic number, because the mean of its divisors is an integer number (493843165200).

Almost surely, 2^{40204585050168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204585050168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63211925145600).

40204585050168 is an abundant number, since it is smaller than the sum of its proper divisors (86219265241032).

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

40204585050168 is a wasteful number, since it uses less digits than its factorization.

40204585050168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396410 (or 396406 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 40204585050168 in words is "forty trillion, two hundred four billion, five hundred eighty-five million, fifty thousand, one hundred sixty-eight".