721122444001344 has 1344 divisors, whose sum is σ = 2667965848289280. Its totient is φ = 169302680064000.

The previous prime is 721122444001327. The next prime is 721122444001357. The reversal of 721122444001344 is 443100444221127.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4327681359 + ... + 4327847985.

It is an arithmetic number, because the mean of its divisors is an integer number (1985093637120).

Almost surely, 2^{721122444001344} 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 721122444001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333982924144640).

721122444001344 is an abundant number, since it is smaller than the sum of its proper divisors (1946843404287936).

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

721122444001344 is a wasteful number, since it uses less digits than its factorization.

721122444001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166788 (or 166771 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 721122444001344 in words is "seven hundred twenty-one trillion, one hundred twenty-two billion, four hundred forty-four million, one thousand, three hundred forty-four".