1101261709728 has 144 divisors (see below), whose sum is σ = 3138007122432. Its totient is φ = 366350400000.

The previous prime is 1101261709643. The next prime is 1101261709739. The reversal of 1101261709728 is 8279071621011.

It is a happy number.

1101261709728 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 617 + 0 + 9 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564459153 + ... + 564461103.

It is an arithmetic number, because the mean of its divisors is an integer number (21791716128).

Almost surely, 2^{1101261709728} is an apocalyptic number.

1101261709728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1101261709728 is an abundant number, since it is smaller than the sum of its proper divisors (2036745412704).

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

1101261709728 is a wasteful number, since it uses less digits than its factorization.

1101261709728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 1101261709728 in words is "one trillion, one hundred one billion, two hundred sixty-one million, seven hundred nine thousand, seven hundred twenty-eight".