1559949334944 has 1536 divisors, whose sum is σ = 6108739338240. Its totient is φ = 337819299840.

The previous prime is 1559949334919. The next prime is 1559949335011. The reversal of 1559949334944 is 4494339499551.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5081268039 + ... + 5081268345.

It is an arithmetic number, because the mean of its divisors is an integer number (3977043840).

Almost surely, 2^{1559949334944} is an apocalyptic number.

1559949334944 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 1559949334944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054369669120).

1559949334944 is an abundant number, since it is smaller than the sum of its proper divisors (4548790003296).

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

1559949334944 is a wasteful number, since it uses less digits than its factorization.

1559949334944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 69.

The spelling of 1559949334944 in words is "one trillion, five hundred fifty-nine billion, nine hundred forty-nine million, three hundred thirty-four thousand, nine hundred forty-four".