1320410000 has 200 divisors, whose sum is σ = 3937289664. Its totient is φ = 417600000.

The previous prime is 1320409957. The next prime is 1320410017. The reversal of 1320410000 is 140231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 909275 + ... + 910725.

Almost surely, 2^1320410000 is an apocalyptic number.

1320410000 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 1320410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968644832).

1320410000 is an abundant number, since it is smaller than the sum of its proper divisors (2616879664).

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

1320410000 is a wasteful number, since it uses less digits than its factorization.

1320410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1320410000 is about 36337.4462503902. The cubic root of 1320410000 is about 1097.0748730067.

Adding to 1320410000 its reverse (140231), we get a palindrome (1320550231).

The spelling of 1320410000 in words is "one billion, three hundred twenty million, four hundred ten thousand".