344413343400021 has 48 divisors (see below), whose sum is σ = 582524109917568. Its totient is φ = 191973962304000.

The previous prime is 344413343400001. The next prime is 344413343400023. The reversal of 344413343400021 is 120004343314443.

344413343400021 is a `hidden beast` number, since 3 + 444 + 133 + 43 + 40 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 344413343400021 - 2⁵ = 344413343399989 is a prime.

It is a super-2 number, since 2×344413343400021² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344413343400023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3197746 + ... + 26439596.

It is an arithmetic number, because the mean of its divisors is an integer number (12135918956616).

Almost surely, 2^{344413343400021} is an apocalyptic number.

It is an amenable number.

344413343400021 is a deficient number, since it is larger than the sum of its proper divisors (238110766517547).

344413343400021 is a wasteful number, since it uses less digits than its factorization.

344413343400021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23247642 (or 23247639 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 344413343400021 its reverse (120004343314443), we get a palindrome (464417686714464).

The spelling of 344413343400021 in words is "three hundred forty-four trillion, four hundred thirteen billion, three hundred forty-three million, four hundred thousand, twenty-one".