344422041000000 has 196 divisors, whose sum is σ = 1139089575404304. Its totient is φ = 91845876800000.

The previous prime is 344422040999983. The next prime is 344422041000017. The reversal of 344422041000000 is 140224443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344422040999983) and next prime (344422041000017).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54403674 + ... + 60403673.

Almost surely, 2^{344422041000000} is an apocalyptic number.

344422041000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344422041000000 is an abundant number, since it is smaller than the sum of its proper divisors (794667534404304).

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

344422041000000 is an frugal number, since it uses more digits than its factorization.

344422041000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114807392 (or 114807357 counting only the distinct ones).

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

Adding to 344422041000000 its reverse (140224443), we get a palindrome (344422181224443).

The spelling of 344422041000000 in words is "three hundred forty-four trillion, four hundred twenty-two billion, forty-one million", and thus it is an aban number.