340003441104000 has 512 divisors, whose sum is σ = 1169035621977600. Its totient is φ = 87343626240000.

The previous prime is 340003441103927. The next prime is 340003441104001. The reversal of 340003441104000 is 401144300043.

It is a super-2 number, since 2×340003441104000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340003441104001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178428261 + ... + 180323739.

It is an arithmetic number, because the mean of its divisors is an integer number (2283272699175).

Almost surely, 2^{340003441104000} is an apocalyptic number.

340003441104000 is a gapful number since it is divisible by the number (30) 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 340003441104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584517810988800).

340003441104000 is an abundant number, since it is smaller than the sum of its proper divisors (829032180873600).

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

340003441104000 is a wasteful number, since it uses less digits than its factorization.

340003441104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895649 (or 1895627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340003441104000 its reverse (401144300043), we get a palindrome (340404585404043).

The spelling of 340003441104000 in words is "three hundred forty trillion, three billion, four hundred forty-one million, one hundred four thousand".