340065410420736 has 8320 divisors, whose sum is σ = 1565215773327360. Its totient is φ = 70631659929600.

The previous prime is 340065410420717. The next prime is 340065410420779. The reversal of 340065410420736 is 637024014560043.

340065410420736 is a `hidden beast` number, since 3 + 400 + 6 + 5 + 4 + 1 + 0 + 4 + 207 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340065410420691 and 340065410420700.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5075603140575 + ... + 5075603140641.

Almost surely, 2^{340065410420736} is an apocalyptic number.

340065410420736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340065410420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782607886663680).

340065410420736 is an abundant number, since it is smaller than the sum of its proper divisors (1225150362906624).

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

340065410420736 is a wasteful number, since it uses less digits than its factorization.

340065410420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 340065410420736 its reverse (637024014560043), we get a palindrome (977089424980779).

The spelling of 340065410420736 in words is "three hundred forty trillion, sixty-five billion, four hundred ten million, four hundred twenty thousand, seven hundred thirty-six".