340142205744 has 160 divisors (see below), whose sum is σ = 1066789102080. Its totient is φ = 102909139200.

The previous prime is 340142205703. The next prime is 340142205761. The reversal of 340142205744 is 447502241043.

340142205744 is a `hidden beast` number, since 3 + 40 + 1 + 42 + 2 + 0 + 574 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340142205699 and 340142205708.

It is an unprimeable number.

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, 2941794 + ... + 3055230.

It is an arithmetic number, because the mean of its divisors is an integer number (6667431888).

Almost surely, 2^340142205744 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 340142205744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533394551040).

340142205744 is an abundant number, since it is smaller than the sum of its proper divisors (726646896336).

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

340142205744 is a wasteful number, since it uses less digits than its factorization.

340142205744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114096 (or 114084 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 340142205744 its reverse (447502241043), we get a palindrome (787644446787).

The spelling of 340142205744 in words is "three hundred forty billion, one hundred forty-two million, two hundred five thousand, seven hundred forty-four".