1321364400 has 240 divisors, whose sum is σ = 4393968768. Its totient is φ = 339200000.

The previous prime is 1321364393. The next prime is 1321364411. The reversal of 1321364400 is 44631231.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5264275 + ... + 5264525.

Almost surely, 2^1321364400 is an apocalyptic number.

1321364400 is a gapful number since it is divisible by the number (10) 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 1321364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196984384).

1321364400 is an abundant number, since it is smaller than the sum of its proper divisors (3072604368).

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

1321364400 is a wasteful number, since it uses less digits than its factorization.

1321364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1321364400 is about 36350.5763365590. The cubic root of 1321364400 is about 1097.3391333726.

Adding to 1321364400 its reverse (44631231), we get a palindrome (1365995631).

The spelling of 1321364400 in words is "one billion, three hundred twenty-one million, three hundred sixty-four thousand, four hundred".