340516412312010 has 256 divisors, whose sum is σ = 946261231976448. Its totient is φ = 77607228441600.

The previous prime is 340516412312009. The next prime is 340516412312047. The reversal of 340516412312010 is 10213214615043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614110612 + ... + 614664848.

It is an arithmetic number, because the mean of its divisors is an integer number (3696332937408).

Almost surely, 2^{340516412312010} is an apocalyptic number.

340516412312010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340516412312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473130615988224).

340516412312010 is an abundant number, since it is smaller than the sum of its proper divisors (605744819664438).

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

340516412312010 is a wasteful number, since it uses less digits than its factorization.

340516412312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555669.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 340516412312010 its reverse (10213214615043), we get a palindrome (350729626927053).

The spelling of 340516412312010 in words is "three hundred forty trillion, five hundred sixteen billion, four hundred twelve million, three hundred twelve thousand, ten".