40091204160 has 252 divisors, whose sum is σ = 160411404348. Its totient is φ = 9163671552.

The previous prime is 40091204149. The next prime is 40091204203. The reversal of 40091204160 is 6140219004.

It can be written as a sum of positive squares in 2 ways, for example, as 31952277504 + 8138926656 = 178752^2 + 90216^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 927 + ... + 283166.

Almost surely, 2^40091204160 is an apocalyptic number.

40091204160 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 40091204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80205702174).

40091204160 is an abundant number, since it is smaller than the sum of its proper divisors (120320200188).

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

40091204160 is a wasteful number, since it uses less digits than its factorization.

40091204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284130 (or 284110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 40091204160 in words is "forty billion, ninety-one million, two hundred four thousand, one hundred sixty".