1344456410121 has 72 divisors (see below), whose sum is σ = 2287596467520. Its totient is φ = 758329767360.

The previous prime is 1344456410107. The next prime is 1344456410123. The reversal of 1344456410121 is 1210146544431.

1344456410121 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 5 + 641 + 0 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 1344456410121 - 2²² = 1344452215817 is a prime.

It is a super-5 number, since 5×1344456410121⁵ (a number of 62 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (1344456410123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 201370 + ... + 1652108.

It is an arithmetic number, because the mean of its divisors is an integer number (31772173160).

Almost surely, 2^{1344456410121} is an apocalyptic number.

1344456410121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1344456410121 is a deficient number, since it is larger than the sum of its proper divisors (943140057399).

1344456410121 is a wasteful number, since it uses less digits than its factorization.

1344456410121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450827 (or 1450813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1344456410121 in words is "one trillion, three hundred forty-four billion, four hundred fifty-six million, four hundred ten thousand, one hundred twenty-one".