340440221120 has 224 divisors, whose sum is σ = 881159731200. Its totient is φ = 124789800960.

The previous prime is 340440221117. The next prime is 340440221153. The reversal of 340440221120 is 21122044043.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50876975 + ... + 50883665.

It is an arithmetic number, because the mean of its divisors is an integer number (3933748800).

Almost surely, 2^340440221120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340440221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440579865600).

340440221120 is an abundant number, since it is smaller than the sum of its proper divisors (540719510080).

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

340440221120 is a wasteful number, since it uses less digits than its factorization.

340440221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 340440221120 its reverse (21122044043), we get a palindrome (361562265163).

The spelling of 340440221120 in words is "three hundred forty billion, four hundred forty million, two hundred twenty-one thousand, one hundred twenty".