321434414040240 has 240 divisors, whose sum is σ = 1142008903776000. Its totient is φ = 80796420131328.

The previous prime is 321434414040161. The next prime is 321434414040359. The reversal of 321434414040240 is 42040414434123.

321434414040240 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 3 + 4 + 4 + 1 + 404 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 321434414040195 and 321434414040204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56314534 + ... + 61759173.

It is an arithmetic number, because the mean of its divisors is an integer number (4758370432400).

Almost surely, 2^{321434414040240} is an apocalyptic number.

321434414040240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321434414040240 is an abundant number, since it is smaller than the sum of its proper divisors (820574489735760).

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

321434414040240 is a wasteful number, since it uses less digits than its factorization.

321434414040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118073944 (or 118073935 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 321434414040240 its reverse (42040414434123), we get a palindrome (363474828474363).

The spelling of 321434414040240 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, four hundred fourteen million, forty thousand, two hundred forty".