1326042000 has 240 divisors, whose sum is σ = 4834297728. Its totient is φ = 338131200.

The previous prime is 1326041987. The next prime is 1326042013. The reversal of 1326042000 is 2406231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1326041987) and next prime (1326042013).

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 (18).

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, 412399 + ... + 415601.

Almost surely, 2^1326042000 is an apocalyptic number.

1326042000 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 1326042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417148864).

1326042000 is an abundant number, since it is smaller than the sum of its proper divisors (3508255728).

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

1326042000 is a wasteful number, since it uses less digits than its factorization.

1326042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1326042000 is about 36414.8596042879. The cubic root of 1326042000 is about 1098.6324603344.

Adding to 1326042000 its reverse (2406231), we get a palindrome (1328448231).

The spelling of 1326042000 in words is "one billion, three hundred twenty-six million, forty-two thousand".