321420323040 has 96 divisors (see below), whose sum is σ = 1012899686400. Its totient is φ = 85676050944.

The previous prime is 321420323023. The next prime is 321420323057. The reversal of 321420323040 is 40323024123.

It is an interprime number because it is at equal distance from previous prime (321420323023) and next prime (321420323057).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×321420323040² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 321420323040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011957 + ... + 1291083.

It is an arithmetic number, because the mean of its divisors is an integer number (10551038400).

Almost surely, 2^321420323040 is an apocalyptic number.

321420323040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321420323040 is an abundant number, since it is smaller than the sum of its proper divisors (691479363360).

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

321420323040 is a wasteful number, since it uses less digits than its factorization.

321420323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281544 (or 281536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 321420323040 its reverse (40323024123), we get a palindrome (361743347163).

The spelling of 321420323040 in words is "three hundred twenty-one billion, four hundred twenty million, three hundred twenty-three thousand, forty".