340024112243200 has 480 divisors, whose sum is σ = 1071745249449600. Its totient is φ = 105981526425600.

The previous prime is 340024112243197. The next prime is 340024112243201. The reversal of 340024112243200 is 2342211420043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (340024112243201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44774074 + ... + 51814726.

It is an arithmetic number, because the mean of its divisors is an integer number (2232802603020).

Almost surely, 2^{340024112243200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340024112243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535872624724800).

340024112243200 is an abundant number, since it is smaller than the sum of its proper divisors (731721137206400).

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

340024112243200 is an equidigital number, since it uses as much as digits as its factorization.

340024112243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040713 (or 7040678 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 340024112243200 its reverse (2342211420043), we get a palindrome (342366323663243).

The spelling of 340024112243200 in words is "three hundred forty trillion, twenty-four billion, one hundred twelve million, two hundred forty-three thousand, two hundred".