321140214144 has 96 divisors (see below), whose sum is σ = 978474149640. Its totient is φ = 100749864960.

The previous prime is 321140214137. The next prime is 321140214149. The reversal of 321140214144 is 441412041123.

321140214144 is a `hidden beast` number, since 3 + 211 + 402 + 1 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321140214149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8179462 + ... + 8218629.

Almost surely, 2^321140214144 is an apocalyptic number.

321140214144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

321140214144 is an abundant number, since it is smaller than the sum of its proper divisors (657333935496).

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

321140214144 is a wasteful number, since it uses less digits than its factorization.

321140214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16398128 (or 16398113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 321140214144 its reverse (441412041123), we get a palindrome (762552255267).

The spelling of 321140214144 in words is "three hundred twenty-one billion, one hundred forty million, two hundred fourteen thousand, one hundred forty-four".