321684998040 has 288 divisors, whose sum is σ = 1216785726000. Its totient is φ = 73490554368.

The previous prime is 321684998029. The next prime is 321684998053. The reversal of 321684998040 is 40899486123.

321684998040 is a `hidden beast` number, since 32 + 1 + 6 + 8 + 499 + 80 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49723926 + ... + 49730394.

Almost surely, 2^321684998040 is an apocalyptic number.

321684998040 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 321684998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608392863000).

321684998040 is an abundant number, since it is smaller than the sum of its proper divisors (895100727960).

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

321684998040 is a wasteful number, since it uses less digits than its factorization.

321684998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 321684998040 in words is "three hundred twenty-one billion, six hundred eighty-four million, nine hundred ninety-eight thousand, forty".