1341340000 has 480 divisors, whose sum is σ = 4496760576. Its totient is φ = 380160000.

The previous prime is 1341339997. The next prime is 1341340037. The reversal of 1341340000 is 431431.

1341340000 = T₅₈₆₄ + T₅₈₆₅ + ... + T₅₉₄₀.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20019967 + ... + 20020033.

Almost surely, 2^1341340000 is an apocalyptic number.

1341340000 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 1341340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248380288).

1341340000 is an abundant number, since it is smaller than the sum of its proper divisors (3155420576).

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

1341340000 is a wasteful number, since it uses less digits than its factorization.

1341340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1341340000 is about 36624.3088671991. The cubic root of 1341340000 is about 1102.8411402778.

Adding to 1341340000 its reverse (431431), we get a palindrome (1341771431).

It can be divided in two parts, 134 and 1340000, that multiplied together give a square (179560000 = 13400²).

The spelling of 1341340000 in words is "one billion, three hundred forty-one million, three hundred forty thousand".