1341036000 has 240 divisors, whose sum is σ = 4923238320. Its totient is φ = 357523200.

The previous prime is 1341035987. The next prime is 1341036013. The reversal of 1341036000 is 6301431.

It is an interprime number because it is at equal distance from previous prime (1341035987) and next prime (1341036013).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321931 + ... + 326069.

It is an arithmetic number, because the mean of its divisors is an integer number (20513493).

Almost surely, 2^1341036000 is an apocalyptic number.

1341036000 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 1341036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461619160).

1341036000 is an abundant number, since it is smaller than the sum of its proper divisors (3582202320).

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

1341036000 is an equidigital number, since it uses as much as digits as its factorization.

1341036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1341036000 is about 36620.1583830545. The cubic root of 1341036000 is about 1102.7578183664.

Adding to 1341036000 its reverse (6301431), we get a palindrome (1347337431).

The spelling of 1341036000 in words is "one billion, three hundred forty-one million, thirty-six thousand".