1209148411680 has 432 divisors, whose sum is σ = 4564422108792. Its totient is φ = 291253248000.

The previous prime is 1209148411631. The next prime is 1209148411721. The reversal of 1209148411680 is 861148419021.

1209148411680 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 1 + 484 + 1 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 639660844944 + 569487566736 = 799788^2 + 754644^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27333580 + ... + 27377780.

Almost surely, 2^{1209148411680} is an apocalyptic number.

1209148411680 is a gapful number since it is divisible by the number (10) 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 1209148411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282211054396).

1209148411680 is an abundant number, since it is smaller than the sum of its proper divisors (3355273697112).

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

1209148411680 is a wasteful number, since it uses less digits than its factorization.

1209148411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44401 (or 44379 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1209148411680 in words is "one trillion, two hundred nine billion, one hundred forty-eight million, four hundred eleven thousand, six hundred eighty".