1341026000 has 80 divisors (see below), whose sum is σ = 3256465680. Its totient is φ = 534118400.

The previous prime is 1341025999. The next prime is 1341026003. The reversal of 1341026000 is 6201431.

It can be written as a sum of positive squares in 8 ways, for example, as 105925264 + 1235100736 = 10292^2 + 35144^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1341026000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341026003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512696 + ... + 515304.

It is an arithmetic number, because the mean of its divisors is an integer number (40705821).

Almost surely, 2^1341026000 is an apocalyptic number.

1341026000 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 1341026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628232840).

1341026000 is an abundant number, since it is smaller than the sum of its proper divisors (1915439680).

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

1341026000 is a wasteful number, since it uses less digits than its factorization.

1341026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1341026000 is about 36620.0218459793. The cubic root of 1341026000 is about 1102.7550773002.

Adding to 1341026000 its reverse (6201431), we get a palindrome (1347227431).

The spelling of 1341026000 in words is "one billion, three hundred forty-one million, twenty-six thousand".