1309960181376 has 384 divisors, whose sum is σ = 4947053529600. Its totient is φ = 322341120000.

The previous prime is 1309960181351. The next prime is 1309960181423. The reversal of 1309960181376 is 6731810699031.

It is a happy number.

1309960181376 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 96 + 0 + 181 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296751 + ... + 2074001.

It is an arithmetic number, because the mean of its divisors is an integer number (12882951900).

Almost surely, 2^{1309960181376} is an apocalyptic number.

1309960181376 is a gapful number since it is divisible by the number (16) 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 1309960181376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473526764800).

1309960181376 is an abundant number, since it is smaller than the sum of its proper divisors (3637093348224).

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

1309960181376 is a wasteful number, since it uses less digits than its factorization.

1309960181376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777308 (or 777293 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1309960181376 in words is "one trillion, three hundred nine billion, nine hundred sixty million, one hundred eighty-one thousand, three hundred seventy-six".