1311626420000 has 240 divisors, whose sum is σ = 3555857511360. Its totient is φ = 473026176000.

The previous prime is 1311626419997. The next prime is 1311626420009. The reversal of 1311626420000 is 246261131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1311626420009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11121341 + ... + 11238659.

It is an arithmetic number, because the mean of its divisors is an integer number (14816072964).

Almost surely, 2^{1311626420000} is an apocalyptic number.

1311626420000 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 1311626420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777928755680).

1311626420000 is an abundant number, since it is smaller than the sum of its proper divisors (2244231091360).

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

1311626420000 is a wasteful number, since it uses less digits than its factorization.

1311626420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117405 (or 117382 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 1311626420000 in words is "one trillion, three hundred eleven billion, six hundred twenty-six million, four hundred twenty thousand".