340444104000 has 1792 divisors, whose sum is σ = 1554183880704. Its totient is φ = 63369216000.

The previous prime is 340444103977. The next prime is 340444104047. The reversal of 340444104000 is 401444043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 888887809 + ... + 888888191.

It is an arithmetic number, because the mean of its divisors is an integer number (867290112).

Almost surely, 2^340444104000 is an apocalyptic number.

340444104000 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 340444104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777091940352).

340444104000 is an abundant number, since it is smaller than the sum of its proper divisors (1213739776704).

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

340444104000 is a wasteful number, since it uses less digits than its factorization.

340444104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 340444104000 its reverse (401444043), we get a palindrome (340845548043).

It can be divided in two parts, 340444 and 104000, that added together give a palindrome (444444).

The spelling of 340444104000 in words is "three hundred forty billion, four hundred forty-four million, one hundred four thousand".