1340040000 has 280 divisors, whose sum is σ = 4776845920. Its totient is φ = 329472000.

The previous prime is 1340039963. The next prime is 1340040019. The reversal of 1340040000 is 400431.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 1559571 + ... + 1560429.

It is an arithmetic number, because the mean of its divisors is an integer number (17060164).

Almost surely, 2^1340040000 is an apocalyptic number.

1340040000 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 1340040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388422960).

1340040000 is an abundant number, since it is smaller than the sum of its proper divisors (3436805920).

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

1340040000 is an equidigital number, since it uses as much as digits as its factorization.

1340040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1340040000 is about 36606.5567897337. The cubic root of 1340040000 is about 1102.4847412289.

Adding to 1340040000 its reverse (400431), we get a palindrome (1340440431).

The spelling of 1340040000 in words is "one billion, three hundred forty million, forty thousand".