321906361140 has 768 divisors, whose sum is σ = 1315524403200. Its totient is φ = 63449174016.

The previous prime is 321906361093. The next prime is 321906361163. The reversal of 321906361140 is 41163609123.

321906361140 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 0 + 636 + 1 + 14 + 0 = 666.

321906361140 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321906361140² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 321906361095 and 321906361104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68154819 + ... + 68159541.

It is an arithmetic number, because the mean of its divisors is an integer number (1712922400).

Almost surely, 2^321906361140 is an apocalyptic number.

321906361140 is a gapful number since it is divisible by the number (30) 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 321906361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657762201600).

321906361140 is an abundant number, since it is smaller than the sum of its proper divisors (993618042060).

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

321906361140 is a wasteful number, since it uses less digits than its factorization.

321906361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 321906361140 in words is "three hundred twenty-one billion, nine hundred six million, three hundred sixty-one thousand, one hundred forty".