844400340480 has 160 divisors (see below), whose sum is σ = 2792527293600. Its totient is φ = 217408765952.

The previous prime is 844400340473. The next prime is 844400340517. The reversal of 844400340480 is 84043004448.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672935 + ... + 2118374.

It is an arithmetic number, because the mean of its divisors is an integer number (17453295585).

Almost surely, 2^844400340480 is an apocalyptic number.

844400340480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844400340480 is an abundant number, since it is smaller than the sum of its proper divisors (1948126953120).

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

844400340480 is a wasteful number, since it uses less digits than its factorization.

844400340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791364 (or 3791348 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 844400340480 in words is "eight hundred forty-four billion, four hundred million, three hundred forty thousand, four hundred eighty".