2661128121344 has 352 divisors, whose sum is σ = 6882938130432. Its totient is φ = 997982208000.

The previous prime is 2661128121299. The next prime is 2661128121403. The reversal of 2661128121344 is 4431218211662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471744764 + ... + 471750404.

Almost surely, 2^{2661128121344} 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 2661128121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441469065216).

2661128121344 is an abundant number, since it is smaller than the sum of its proper divisors (4221810009088).

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

2661128121344 is a wasteful number, since it uses less digits than its factorization.

2661128121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5885 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The spelling of 2661128121344 in words is "two trillion, six hundred sixty-one billion, one hundred twenty-eight million, one hundred twenty-one thousand, three hundred forty-four".