321121424040 has 128 divisors (see below), whose sum is σ = 988854030720. Its totient is φ = 83394432000.

The previous prime is 321121424017. The next prime is 321121424083. The reversal of 321121424040 is 40424121123.

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 321121424040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522147 + ... + 956493.

It is an arithmetic number, because the mean of its divisors is an integer number (7725422115).

Almost surely, 2^321121424040 is an apocalyptic number.

321121424040 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 321121424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494427015360).

321121424040 is an abundant number, since it is smaller than the sum of its proper divisors (667732606680).

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

321121424040 is a wasteful number, since it uses less digits than its factorization.

321121424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434523 (or 434519 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 321121424040 its reverse (40424121123), we get a palindrome (361545545163).

The spelling of 321121424040 in words is "three hundred twenty-one billion, one hundred twenty-one million, four hundred twenty-four thousand, forty".