1301979940800 has 1008 divisors, whose sum is σ = 5466818672640. Its totient is φ = 270476236800.

The previous prime is 1301979940777. The next prime is 1301979940801. The reversal of 1301979940800 is 80499791031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301979940801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313049121 + ... + 313053279.

Almost surely, 2^{1301979940800} is an apocalyptic number.

1301979940800 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 1301979940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733409336320).

1301979940800 is an abundant number, since it is smaller than the sum of its proper divisors (4164838731840).

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

1301979940800 is a wasteful number, since it uses less digits than its factorization.

1301979940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 1301979940800 in words is "one trillion, three hundred one billion, nine hundred seventy-nine million, nine hundred forty thousand, eight hundred".