344454440000000 has 1280 divisors, whose sum is σ = 991936623135744. Its totient is φ = 118272000000000.

The previous prime is 344454439999991. The next prime is 344454440000071. The reversal of 344454440000000 is 44454443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×344454440000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1022119999832 + ... + 1022120000168.

Almost surely, 2^{344454440000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344454440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968311567872).

344454440000000 is an abundant number, since it is smaller than the sum of its proper divisors (647482183135744).

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

344454440000000 is an frugal number, since it uses more digits than its factorization.

344454440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 344454440000000 its reverse (44454443), we get a palindrome (344454484454443).

The spelling of 344454440000000 in words is "three hundred forty-four trillion, four hundred fifty-four billion, four hundred forty million", and thus it is an aban number.