40217144171204 has 288 divisors, whose sum is σ = 101038191609600. Its totient is φ = 13582470021120.

The previous prime is 40217144171093. The next prime is 40217144171209.

40217144171204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40217144171209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336128039 + ... + 336247665.

It is an arithmetic number, because the mean of its divisors is an integer number (350827054200).

Almost surely, 2^{40217144171204} is an apocalyptic number.

40217144171204 is a gapful number since it is divisible by the number (44) 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 40217144171204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50519095804800).

40217144171204 is an abundant number, since it is smaller than the sum of its proper divisors (60821047438396).

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

40217144171204 is a wasteful number, since it uses less digits than its factorization.

40217144171204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120139 (or 120126 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

It can be divided in two parts, 4021714 and 4171204, that added together give a palindrome (8192918).

The spelling of 40217144171204 in words is "forty trillion, two hundred seventeen billion, one hundred forty-four million, one hundred seventy-one thousand, two hundred four".