321640401411315 has 48 divisors (see below), whose sum is σ = 643462777653696. Its totient is φ = 145579813920000.

The previous prime is 321640401411281. The next prime is 321640401411353. The reversal of 321640401411315 is 513114104046123.

321640401411315 is a `hidden beast` number, since 3 + 2 + 1 + 640 + 4 + 0 + 1 + 4 + 1 + 1 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 321640401411315 - 2¹⁷ = 321640401280243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 321640401411315.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5054822836 + ... + 5054886465.

It is an arithmetic number, because the mean of its divisors is an integer number (13405474534452).

Almost surely, 2^{321640401411315} is an apocalyptic number.

321640401411315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

321640401411315 is an abundant number, since it is smaller than the sum of its proper divisors (321822376242381).

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

321640401411315 is a wasteful number, since it uses less digits than its factorization.

321640401411315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109709420 (or 10109709417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 321640401411315 its reverse (513114104046123), we get a palindrome (834754505457438).

The spelling of 321640401411315 in words is "three hundred twenty-one trillion, six hundred forty billion, four hundred one million, four hundred eleven thousand, three hundred fifteen".