1344401370004 has 72 divisors (see below), whose sum is σ = 2955979817280. Its totient is φ = 523700770560.

The previous prime is 1344401370001. The next prime is 1344401370049. The reversal of 1344401370004 is 4000731044431.

It is a happy number.

It is a super-2 number, since 2×1344401370004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344401370001) 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 23 ways as a sum of consecutive naturals, for example, 21167007 + ... + 21230425.

It is an arithmetic number, because the mean of its divisors is an integer number (41055275240).

Almost surely, 2^{1344401370004} is an apocalyptic number.

1344401370004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344401370004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477989908640).

1344401370004 is an abundant number, since it is smaller than the sum of its proper divisors (1611578447276).

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

1344401370004 is a wasteful number, since it uses less digits than its factorization.

1344401370004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69709 (or 69696 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 1344401370004 in words is "one trillion, three hundred forty-four billion, four hundred one million, three hundred seventy thousand, four".