340241301114000 has 1280 divisors, whose sum is σ = 1325991883087872. Its totient is φ = 73954944000000.

The previous prime is 340241301113999. The next prime is 340241301114007. The reversal of 340241301114000 is 411103142043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340241301114007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6677788525 + ... + 6677839475.

Almost surely, 2^{340241301114000} is an apocalyptic number.

340241301114000 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 340241301114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662995941543936).

340241301114000 is an abundant number, since it is smaller than the sum of its proper divisors (985750581973872).

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

340241301114000 is a wasteful number, since it uses less digits than its factorization.

340241301114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51225 (or 51209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 340241301114000 its reverse (411103142043), we get a palindrome (340652404256043).

The spelling of 340241301114000 in words is "three hundred forty trillion, two hundred forty-one billion, three hundred one million, one hundred fourteen thousand".