40320412004191 has 64 divisors (see below), whose sum is σ = 49529843504640. Its totient is φ = 32346736128000.

The previous prime is 40320412004167. The next prime is 40320412004203. The reversal of 40320412004191 is 19140021402304.

It is not a de Polignac number, because 40320412004191 - 2¹⁹ = 40320411479903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320412104191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403311451 + ... + 403411411.

It is an arithmetic number, because the mean of its divisors is an integer number (773903804760).

Almost surely, 2^{40320412004191} is an apocalyptic number.

40320412004191 is a deficient number, since it is larger than the sum of its proper divisors (9209431500449).

40320412004191 is a wasteful number, since it uses less digits than its factorization.

40320412004191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101176.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 40320412004191 its reverse (19140021402304), we get a palindrome (59460433406495).

The spelling of 40320412004191 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, one hundred ninety-one".