321114240 has 128 divisors (see below), whose sum is σ = 1137340800. Its totient is φ = 85625856.

The previous prime is 321114217. The next prime is 321114251. The reversal of 321114240 is 42411123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×321114240² = 206228710261555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7989 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (8885475).

Almost surely, 2^321114240 is an apocalyptic number.

321114240 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 321114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568670400).

321114240 is an abundant number, since it is smaller than the sum of its proper divisors (816226560).

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

321114240 is a wasteful number, since it uses less digits than its factorization.

321114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18611 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 321114240 is about 17919.6607110737. The cubic root of 321114240 is about 684.7833438462.

Adding to 321114240 its reverse (42411123), we get a palindrome (363525363).

The spelling of 321114240 in words is "three hundred twenty-one million, one hundred fourteen thousand, two hundred forty".