340144201600 has 1152 divisors, whose sum is σ = 1107357696000. Its totient is φ = 102419251200.

The previous prime is 340144201561. The next prime is 340144201601. The reversal of 340144201600 is 6102441043.

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 (340144201601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2678300737 + ... + 2678300863.

It is an arithmetic number, because the mean of its divisors is an integer number (961248000).

Almost surely, 2^340144201600 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 340144201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553678848000).

340144201600 is an abundant number, since it is smaller than the sum of its proper divisors (767213494400).

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

340144201600 is a wasteful number, since it uses less digits than its factorization.

340144201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 340144201600 its reverse (6102441043), we get a palindrome (346246642643).

The spelling of 340144201600 in words is "three hundred forty billion, one hundred forty-four million, two hundred one thousand, six hundred".