344242043040 has 192 divisors, whose sum is σ = 1240099338240. Its totient is φ = 78631326720.

The previous prime is 344242043003. The next prime is 344242043107. The reversal of 344242043040 is 40340242443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344242042989 and 344242043007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5110701 + ... + 5177619.

It is an arithmetic number, because the mean of its divisors is an integer number (6458850720).

Almost surely, 2^344242043040 is an apocalyptic number.

344242043040 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 344242043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620049669120).

344242043040 is an abundant number, since it is smaller than the sum of its proper divisors (895857295200).

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

344242043040 is a wasteful number, since it uses less digits than its factorization.

344242043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68475 (or 68467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 344242043040 its reverse (40340242443), we get a palindrome (384582285483).

The spelling of 344242043040 in words is "three hundred forty-four billion, two hundred forty-two million, forty-three thousand, forty".