1340108800 has 156 divisors (see below), whose sum is σ = 3473639280. Its totient is φ = 511836160.

The previous prime is 1340108797. The next prime is 1340108807. The reversal of 1340108800 is 88010431.

1340108800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340108807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2354916 + ... + 2355484.

Almost surely, 2^1340108800 is an apocalyptic number.

1340108800 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 1340108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736819640).

1340108800 is an abundant number, since it is smaller than the sum of its proper divisors (2133530480).

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

1340108800 is an equidigital number, since it uses as much as digits as its factorization.

1340108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1340108800 is about 36607.4965000340. The cubic root of 1340108800 is about 1102.5036087383.

The spelling of 1340108800 in words is "one billion, three hundred forty million, one hundred eight thousand, eight hundred".