340444141000 has 128 divisors (see below), whose sum is σ = 819822837600. Its totient is φ = 132229555200.

The previous prime is 340444140989. The next prime is 340444141003. The reversal of 340444141000 is 141444043.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 76743404676 + 263700736324 = 277026^2 + 513518^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (340444141003) 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 31 ways as a sum of consecutive naturals, for example, 18823962 + ... + 18842038.

Almost surely, 2^340444141000 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 340444141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409911418800).

340444141000 is an abundant number, since it is smaller than the sum of its proper divisors (479378696600).

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

340444141000 is a wasteful number, since it uses less digits than its factorization.

340444141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18644 (or 18630 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 340444141000 its reverse (141444043), we get a palindrome (340585585043).

The spelling of 340444141000 in words is "three hundred forty billion, four hundred forty-four million, one hundred forty-one thousand".