321203401400040 has 128 divisors (see below), whose sum is σ = 987726411100800. Its totient is φ = 83513174446080.

The previous prime is 321203401400027. The next prime is 321203401400093. The reversal of 321203401400040 is 40004104302123.

It is a super-2 number, since 2×321203401400040² (a number of 30 digits) contains 22 as substring.

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, 12371242 + ... + 28203801.

It is an arithmetic number, because the mean of its divisors is an integer number (7716612586725).

Almost surely, 2^{321203401400040} is an apocalyptic number.

321203401400040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321203401400040 is an abundant number, since it is smaller than the sum of its proper divisors (666523009700760).

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

321203401400040 is a wasteful number, since it uses less digits than its factorization.

321203401400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40576707 (or 40576703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 321203401400040 its reverse (40004104302123), we get a palindrome (361207505702163).

The spelling of 321203401400040 in words is "three hundred twenty-one trillion, two hundred three billion, four hundred one million, four hundred thousand, forty".