340103040000 has 440 divisors, whose sum is σ = 1192507525440. Its totient is φ = 85911552000.

The previous prime is 340103039987. The next prime is 340103040001. The reversal of 340103040000 is 40301043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (340103040001) by changing a digit.

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, 36475339 + ... + 36484661.

It is an arithmetic number, because the mean of its divisors is an integer number (2710244376).

Almost surely, 2^340103040000 is an apocalyptic number.

340103040000 is a gapful number since it is divisible by the number (30) 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 340103040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596253762720).

340103040000 is an abundant number, since it is smaller than the sum of its proper divisors (852404485440).

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

340103040000 is an equidigital number, since it uses as much as digits as its factorization.

340103040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 340103040000 its reverse (40301043), we get a palindrome (340143341043).

The spelling of 340103040000 in words is "three hundred forty billion, one hundred three million, forty thousand".