321424400004000 has 192 divisors, whose sum is σ = 1059693259951872. Its totient is φ = 85167229056000.

The previous prime is 321424400003977. The next prime is 321424400004017. The reversal of 321424400004000 is 400004424123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83419716 + ... + 87187715.

It is an arithmetic number, because the mean of its divisors is an integer number (5519235728916).

Almost surely, 2^{321424400004000} is an apocalyptic number.

321424400004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321424400004000 is an abundant number, since it is smaller than the sum of its proper divisors (738268859947872).

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

321424400004000 is a wasteful number, since it uses less digits than its factorization.

321424400004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170607616 (or 170607598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 321424400004000 its reverse (400004424123), we get a palindrome (321824404428123).

The spelling of 321424400004000 in words is "three hundred twenty-one trillion, four hundred twenty-four billion, four hundred million, four thousand".