344433221040 has 80 divisors (see below), whose sum is σ = 1067908801248. Its totient is φ = 91834595328.

The previous prime is 344433221023. The next prime is 344433221063. The reversal of 344433221040 is 40122334443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 344433220989 and 344433221007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484764 + ... + 1700996.

Almost surely, 2^344433221040 is an apocalyptic number.

344433221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344433221040 is an abundant number, since it is smaller than the sum of its proper divisors (723475580208).

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

344433221040 is a wasteful number, since it uses less digits than its factorization.

344433221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222886 (or 222880 counting only the distinct ones).

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

Adding to 344433221040 its reverse (40122334443), we get a palindrome (384555555483).

The spelling of 344433221040 in words is "three hundred forty-four billion, four hundred thirty-three million, two hundred twenty-one thousand, forty".