40321205084160 has 6272 divisors, whose sum is σ = 207934524887040. Its totient is φ = 7223692492800.

The previous prime is 40321205084143. The next prime is 40321205084197. The reversal of 40321205084160 is 6148050212304.

It is a happy number.

40321205084160 is a `hidden beast` number, since 4 + 0 + 32 + 1 + 20 + 508 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 567904296925 + ... + 567904296995.

Almost surely, 2^{40321205084160} is an apocalyptic number.

40321205084160 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 40321205084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103967262443520).

40321205084160 is an abundant number, since it is smaller than the sum of its proper divisors (167613319802880).

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

40321205084160 is a wasteful number, since it uses less digits than its factorization.

40321205084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 40321205084160 its reverse (6148050212304), we get a palindrome (46469255296464).

The spelling of 40321205084160 in words is "forty trillion, three hundred twenty-one billion, two hundred five million, eighty-four thousand, one hundred sixty".