340642141726000 has 160 divisors (see below), whose sum is σ = 831787512192000. Its totient is φ = 134915733216000.

The previous prime is 340642141725961. The next prime is 340642141726009. The reversal of 340642141726000 is 627141246043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (340642141726009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427387855 + ... + 428184145.

It is an arithmetic number, because the mean of its divisors is an integer number (5198671951200).

Almost surely, 2^{340642141726000} 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 340642141726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415893756096000).

340642141726000 is an abundant number, since it is smaller than the sum of its proper divisors (491145370466000).

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

340642141726000 is a wasteful number, since it uses less digits than its factorization.

340642141726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798420 (or 798404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 340642141726000 in words is "three hundred forty trillion, six hundred forty-two billion, one hundred forty-one million, seven hundred twenty-six thousand".