340104021312 has 672 divisors, whose sum is σ = 1095120552960. Its totient is φ = 92067840000.

The previous prime is 340104021307. The next prime is 340104021329. The reversal of 340104021312 is 213120401043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2252344437 + ... + 2252344587.

It is an arithmetic number, because the mean of its divisors is an integer number (1629643680).

Almost surely, 2^340104021312 is an apocalyptic number.

340104021312 is a gapful number since it is divisible by the number (32) 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 340104021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560276480).

340104021312 is an abundant number, since it is smaller than the sum of its proper divisors (755016531648).

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

340104021312 is a wasteful number, since it uses less digits than its factorization.

340104021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 340104021312 its reverse (213120401043), we get a palindrome (553224422355).

The spelling of 340104021312 in words is "three hundred forty billion, one hundred four million, twenty-one thousand, three hundred twelve".