340021044040320 has 192 divisors, whose sum is σ = 1174864929474600. Its totient is φ = 90615922753536.

The previous prime is 340021044040319. The next prime is 340021044040351. The reversal of 340021044040320 is 23040440120043.

It is a happy number.

340021044040320 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 210 + 4 + 40 + 403 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320555794181184 + 19465249859136 = 17904072^2 + 4411944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×340021044040320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9076297 + ... + 27611976.

Almost surely, 2^{340021044040320} is an apocalyptic number.

340021044040320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340021044040320 is an abundant number, since it is smaller than the sum of its proper divisors (834843885434280).

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

340021044040320 is a wasteful number, since it uses less digits than its factorization.

340021044040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36689907 (or 36689892 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 340021044040320 its reverse (23040440120043), we get a palindrome (363061484160363).

The spelling of 340021044040320 in words is "three hundred forty trillion, twenty-one billion, forty-four million, forty thousand, three hundred twenty".