1341132800 has 156 divisors (see below), whose sum is σ = 3802720896. Its totient is φ = 459571200.

The previous prime is 1341132799. The next prime is 1341132809. The reversal of 1341132800 is 82311431.

It is not an unprimeable number, because it can be changed into a prime (1341132809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715865 + ... + 717735.

It is an arithmetic number, because the mean of its divisors is an integer number (24376416).

Almost surely, 2^1341132800 is an apocalyptic number.

1341132800 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 1341132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901360448).

1341132800 is an abundant number, since it is smaller than the sum of its proper divisors (2461588096).

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

1341132800 is an equidigital number, since it uses as much as digits as its factorization.

1341132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1341132800 is about 36621.4800356294. The cubic root of 1341132800 is about 1102.7843511835.

The spelling of 1341132800 in words is "one billion, three hundred forty-one million, one hundred thirty-two thousand, eight hundred".