321012541400 has 96 divisors (see below), whose sum is σ = 757186224480. Its totient is φ = 126542976000.

The previous prime is 321012541349. The next prime is 321012541411. The reversal of 321012541400 is 4145210123.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61014770 + ... + 61020030.

It is an arithmetic number, because the mean of its divisors is an integer number (7887356505).

Almost surely, 2^321012541400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378593112240).

321012541400 is an abundant number, since it is smaller than the sum of its proper divisors (436173683080).

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

321012541400 is a wasteful number, since it uses less digits than its factorization.

321012541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9645 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 321012541400 its reverse (4145210123), we get a palindrome (325157751523).

The spelling of 321012541400 in words is "three hundred twenty-one billion, twelve million, five hundred forty-one thousand, four hundred".