321421242432240 has 60 divisors (see below), whose sum is σ = 1079439672504024. Its totient is φ = 85712331315072.

The previous prime is 321421242432217. The next prime is 321421242432253. The reversal of 321421242432240 is 42234242124123.

321421242432240 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 1 + 2 + 424 + 3 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 321421242432195 and 321421242432204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223209195414 + ... + 223209196853.

Almost surely, 2^{321421242432240} is an apocalyptic number.

321421242432240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321421242432240 is an abundant number, since it is smaller than the sum of its proper divisors (758018430071784).

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

321421242432240 is a wasteful number, since it uses less digits than its factorization.

321421242432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446418392286 (or 446418392277 counting only the distinct ones).

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

Adding to 321421242432240 its reverse (42234242124123), we get a palindrome (363655484556363).

The spelling of 321421242432240 in words is "three hundred twenty-one trillion, four hundred twenty-one billion, two hundred forty-two million, four hundred thirty-two thousand, two hundred forty".