1321414000 has 80 divisors (see below), whose sum is σ = 3305502720. Its totient is φ = 510316800.

The previous prime is 1321413997. The next prime is 1321414013. The reversal of 1321414000 is 4141231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1321414000² = 3492269918792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46609 + ... + 69391.

It is an arithmetic number, because the mean of its divisors is an integer number (41318784).

Almost surely, 2^1321414000 is an apocalyptic number.

1321414000 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 1321414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652751360).

1321414000 is an abundant number, since it is smaller than the sum of its proper divisors (1984088720).

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

1321414000 is a wasteful number, since it uses less digits than its factorization.

1321414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22835 (or 22819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1321414000 is about 36351.2585751855. The cubic root of 1321414000 is about 1097.3528634585.

Adding to 1321414000 its reverse (4141231), we get a palindrome (1325555231).

The spelling of 1321414000 in words is "one billion, three hundred twenty-one million, four hundred fourteen thousand".