344030431440 has 40 divisors (see below), whose sum is σ = 1066494338208. Its totient is φ = 91741448320.

The previous prime is 344030431403. The next prime is 344030431457. The reversal of 344030431440 is 44134030443.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 344030431398 and 344030431407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716729826 + ... + 716730305.

Almost surely, 2^344030431440 is an apocalyptic number.

344030431440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344030431440 is an abundant number, since it is smaller than the sum of its proper divisors (722463906768).

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

344030431440 is a wasteful number, since it uses less digits than its factorization.

344030431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433460147 (or 1433460141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 344030431440 its reverse (44134030443), we get a palindrome (388164461883).

The spelling of 344030431440 in words is "three hundred forty-four billion, thirty million, four hundred thirty-one thousand, four hundred forty".