340407404789761 has 8 divisors (see below), whose sum is σ = 370172758150440. Its totient is φ = 311724427915008.

The previous prime is 340407404789719. The next prime is 340407404789807. The reversal of 340407404789761 is 167987404704043.

It can be written as a sum of positive squares in 4 ways, for example, as 87799898425600 + 252607506364161 = 9370160^2 + 15893631^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 340407404789761 - 2⁷ = 340407404789633 is a prime.

It is a super-2 number, since 2×340407404789761² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 340407404789693 and 340407404789702.

It is not an unprimeable number, because it can be changed into a prime (340407404789561) 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 7 ways as a sum of consecutive naturals, for example, 270594120826 + ... + 270594122083.

It is an arithmetic number, because the mean of its divisors is an integer number (46271594768805).

Almost surely, 2^{340407404789761} is an apocalyptic number.

It is an amenable number.

340407404789761 is a deficient number, since it is larger than the sum of its proper divisors (29765353360679).

340407404789761 is a wasteful number, since it uses less digits than its factorization.

340407404789761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541188242963.

The product of its (nonzero) digits is 113799168, while the sum is 64.

The spelling of 340407404789761 in words is "three hundred forty trillion, four hundred seven billion, four hundred four million, seven hundred eighty-nine thousand, seven hundred sixty-one".