321421101144400 has 60 divisors (see below), whose sum is σ = 782792472221212. Its totient is φ = 126807228933120.

The previous prime is 321421101144371. The next prime is 321421101144421. The reversal of 321421101144400 is 4441101124123.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6815817146944 + 314605283997456 = 2610712^2 + 17737116^2 .

It is a super-2 number, since 2×321421101144400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5503756779 + ... + 5503815178.

Almost surely, 2^{321421101144400} is an apocalyptic number.

It is an amenable number.

321421101144400 is an abundant number, since it is smaller than the sum of its proper divisors (461371371076812).

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

321421101144400 is a wasteful number, since it uses less digits than its factorization.

321421101144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007572048 (or 11007572037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 321421101144400 its reverse (4441101124123), we get a palindrome (325862202268523).

The spelling of 321421101144400 in words is "three hundred twenty-one trillion, four hundred twenty-one billion, one hundred one million, one hundred forty-four thousand, four hundred".