344404140141030 has 64 divisors (see below), whose sum is σ = 862689310230528. Its totient is φ = 87829521296000.

The previous prime is 344404140140953. The next prime is 344404140141037. The reversal of 344404140141030 is 30141041404443.

It is a super-2 number, since 2×344404140141030² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344404140140982 and 344404140141000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344404140141037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49251429 + ... + 55807808.

It is an arithmetic number, because the mean of its divisors is an integer number (13479520472352).

Almost surely, 2^{344404140141030} is an apocalyptic number.

344404140141030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344404140141030 is an abundant number, since it is smaller than the sum of its proper divisors (518285170089498).

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

344404140141030 is a wasteful number, since it uses less digits than its factorization.

344404140141030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105064021.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 344404140141030 its reverse (30141041404443), we get a palindrome (374545181545473).

The spelling of 344404140141030 in words is "three hundred forty-four trillion, four hundred four billion, one hundred forty million, one hundred forty-one thousand, thirty".