344312030404440 has 384 divisors, whose sum is σ = 1425369576384000. Its totient is φ = 70172040351744.

The previous prime is 344312030404403. The next prime is 344312030404483. The reversal of 344312030404440 is 44404030213443.

344312030404440 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 1 + 203 + 0 + 4 + 0 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344312030404395 and 344312030404404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210690310 + ... + 212318229.

It is an arithmetic number, because the mean of its divisors is an integer number (3711899938500).

Almost surely, 2^{344312030404440} is an apocalyptic number.

344312030404440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344312030404440 is an abundant number, since it is smaller than the sum of its proper divisors (1081057545979560).

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

344312030404440 is a wasteful number, since it uses less digits than its factorization.

344312030404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423008599 (or 423008592 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344312030404440 its reverse (44404030213443), we get a palindrome (388716060617883).

The spelling of 344312030404440 in words is "three hundred forty-four trillion, three hundred twelve billion, thirty million, four hundred four thousand, four hundred forty".