1341813600 has 180 divisors, whose sum is σ = 4893569604. Its totient is φ = 357799680.

The previous prime is 1341813569. The next prime is 1341813619. The reversal of 1341813600 is 63181431.

1341813600 is a `hidden beast` number, since 1 + 3 + 41 + 8 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54447 + ... + 75153.

Almost surely, 2^1341813600 is an apocalyptic number.

1341813600 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 1341813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446784802).

1341813600 is an abundant number, since it is smaller than the sum of its proper divisors (3551756004).

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

1341813600 is a wasteful number, since it uses less digits than its factorization.

1341813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20739 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1341813600 is about 36630.7739475977. The cubic root of 1341813600 is about 1102.9709219648.

The spelling of 1341813600 in words is "one billion, three hundred forty-one million, eight hundred thirteen thousand, six hundred".